It understood things like "it's silly to make a several-light-year flight take a few minutes."
Or "black holes do not work that way."
Or "super novas do not work that way."
Didn't say they needed to have all of the technobabble, and for what it's worth the scene they showed with Geordi was simply a scene where Geordi was, in a longish way, that the ship should be working but for some reason it wasn't. (The clip was from the episode "Booby Trap.")
The idea is that Trek took the technology aspect "seriously" and knew how things should work and made it as "mundane" as possible because it took place in our future. (I admit that many aspects of Voyager and some aspects of TNG took that notion and idea too far. But TNG was "better" about technobabble much of the time because they didn't use it to solve the "real problem" in the episode. For example much time is spent in The Booby Trap with LaForge arguing with the hologram of Leah Brahms in how to get out of the trap and a lot of technobabble is spewed out. But the booby trap, and how to get out, isn't the idea or intent of the episode. The idea and intent is more how how we solve problems, Geordi learning how to build platonic relationships with women, and sometimes technology has to all be shut off and human instinct allowed to solve problems. A much better example of "technobabble saving the day, but not solving the problem of the episode" occurs in Deja' Q)
But Abrham's Trek treats the technology and such in much more "Star Wars"-ian manner and just shrugs it off. Which, for me, I don't like because it takes the universe less seriously. This is why some fans get upset over the ship being built on the ground, the trip to Vulcan taking a couple of minutes, and the whole "black hole" nonsense.
In the end in ST09 what the characters are doing and why doesn't matter which is why I've no problem with the Red Matter nonsense creating black holes. (The black holes being time-travel devices and not the crushing pits of doom, or that planets wouldn't create too spectaculat of blackholes are whole other problems, however) because, really, Nero and what he is doing and plans to do isn't what the movie is about. The movie is about getting the characters together, the red matter thing is just a back-drop.
But, as a Trek fan, I would've appreciated the technology and science of the universe (both the Trek one and the real one) being taken a bit more seriously. It's almost as if Abrams didn't even bother to care about things like "Ummm. How can Spock stand there and watch Vulcan be destroyed? How can a supernova threaten the entire galaxy in any amount of time to be considered a problem?" and so forth.
It was more like, as Plinkett said, in SWs where we don't wonder, ask, or care how Luke gets from Hoth to the Cloud City in a short period of time in a X-Wing. The science and speeds of ships in that series don't matter. The space stuff is a backdrop for the serial adventure movie concept.
In Trek? The space-stuff is a bit more of a backdrop and needs to be taken a bit more seriously and realisticly.