A minor point I want to kind of say is just generally how "time" tends to work in trek and, well, all TV where it seems like more time passes than should have. Data is told there's several hours before Picard is expected back so he decides to take Worf and explore the derelict cryo-stasis satellite that has some how drifted from Earth to this location in 300 years. He and Worf appear to leave immediately but they don't get very far in exploring the capsule before he's told to beam back because Picard is expected soon.
Another example that springs to mind is in "...Farpoint," when Riker comes aboard and is shown the visual record of the preceding events. As Picard goes to the Battle Bridge Ready Room, Data tells him that the saucer section will arrive at Deneb IV in 51 minutes. Picard replies, "Inform them we'll connect as soon as they arrive, and send the commander to me when he's finished."
Riker spends a few more moments watching the sensor logs, comments, "He calls that a 'little adventure'?", and goes to the Ready Room. He and Picard have a brief exchange before the saucer arrives and Riker is ordered to perform a manual docking.
To be fair, that was pretty much the Spaceballs scene of him watching the episode and it was close to the 30 minute mark at that point, so it's not that much of a stretch. Plus, it's Riker, he totally rewound on things like the women in skants and any time Tasha was seen walking away from the camera.
Seriously though, this scene brings up another question (granted, not necessarily "Neutral Zone" related), but how much of the ship's activity is recorded? Is it a given that as soon as you step on the bridge, you're being recorded?
From a slightly different perspective, I'd think Ralph would adapt very quickly to 24th century life. With his intelligence and perceptiveness, he'd have a handle very quickly on how the 24th century "works", and start carving his path from there. Perhaps not necessarily within the Federation, though, if he would find that he'd have more opportunities within another political entity.
He would, until he got so busy he forgot to get a cure for his crippling boneitis.

Sure enough, they're in Beta Canon:But I'm sure some fan fiction or novelizations (I don't read those) have been written around that theme.
Ralph Offenhouse
Clare Raymond
L.Q. "Sonny" Clemonds
While they all got a little bit of their 24th century life told, all three appeared in the trilogy The Rise and Fall of Khan Noonian Singh in the 20th Century. I quite like how it's shown that Sonny sang at Vic's casino (the real one that holosuite program is based on) and serenaded the crowd in 1993 with his song, "Don't send me no email unless you're a female."
But fort some it's so much fuuuuuuuuuuun to disdain!
I'm watching the series from the start and got up to "The Battle" last night. A good chunk of the first episodes is dedicated to the crew's disdain over Earth's past, specifically the 20th century. "Encounter at Far Point" makes this a plot point, "The Last Outpost" has them disdaining the Ferengi for being capitalists post 21st century (referring to them as "Yankee Traders"), "Lonely Among Us" has Riker baffled that two groups could hate each other so much (with Picard giving this gem in return, "Well, yes, but these life forms feel such passionate hatred over differences in customs, God concepts, and even strangely enough, economic systems..."), and "Justice" has them explaining our past to the Edo as basically, "Yeah, we were savages, but we're enlightened now."). And that's just some of the good ol' disdaining Rodenberry packed into season 1 with his view of how humanity would be evolved by the 24th Century.
Thankfully, Trek would go on to show us how these things still existed, but were rarer, making them flawed, but not insufferable as they were early on in TNG.
Let's not forget that it was Season 1 either and Season 1 Picard spend most of his time annoyed at everyone and everything.
Plus it was when they really tried very hard, and for the most part failed very hard, at portraying the crew as "perfect humans" and so they had to state that those 20th century humans were horrible and barbaric and, at best, to be pitied, so that the "evolved" 24th century folk (who jump around like angry howler monkies if their ex-girlfriend gets married aand frequently can't bare the mere presence of one another) will look good in comparison.
On the less cynical level, it is really not Captain Picard's job to entertain or care for those 20th century humans, or to help them adjust. That falls square into Troi's duties, so he's right in handing them off to her.
It's amazing knowing that Gene wanted them to be free of internal-conflict, and yet, that's all I can see. They're so stiff and Picard comes off as ready to snap at someone at any second. I know I'd be on edge around him and would certainly talk behind his back.
Hell, as I said, I'm up to "The Battle" and it seems Beverly's main function on the show up until this point is to be in conflict with Picard. The sexual tension from "The Naked Now" aside, she's always arguing with him. In "Where No One Has Gone Before" it was the usual "the patient isn't healthy enough to do what you want them to do, Captain" conflict, in "Lonely Among Us" it was fomenting mutiny (arguably, rightly so, but still), in "Justice" it was about her son (which was a constant source of conflict between the two up until this point), but this time it was the reasonable position of not wanting the Captain to allow him to die, and in "The Battle" it's the typical "I'm the doctor, I outrank you, get your ass to sickbay" conflict (She's not shy in early season 1 of pointing out she's the only one who can order the Captain to do anything).
In "Justice" Riker is clearly jealous over the male Edo's interest in Troi. He doesn't really act on it, but it's clearly there, so, again, tell me there's no internal conflict.
I feel like with some minor changes Conspiracy, The Neutral Zone and a third episode as the season 2 premiere having the Enterprise and Romulans teaming up to fight the outpost attackers would have made a cool trilogy.
The Tomed Incident and aftermath is interesting when what was happening in Angel One is considered. I'm not worried about rationalisations but more why writers seem to forget stuff that happened a few episodes ago. Just seems odd.
Ralph just wanders onto the bridge. Sure, why not.
Agreed, sadly it couldn't have happened due to behind the scenes stuff going on. I think the failure to get the Ferengi to be TNG's Klingons really hampered them. "Conspiracy" was a false start, as they seemingly were going to tie it into everything, but upon creating the Borg, decided to go in a different direction.