What were the starting point and destination of the ride? Supposedly Pike's secondary hull is a "maze" just like Kirk's, so plenty of room for a roller coaster there. And many beam-ups in TOS S1 apparently were to a platform somewhere down below ("Mudd's Women", "Dagger of the Mind"), while supposedly Ensign Spock would travel from there to, say, to Bridge to report in, or to his quarters in the saucer.
As regards the uniforms, they are only said to be "new" in "Brother", not "brand" new or anything. And they are Pike's consolation prize for not getting the Discovery, so semantically they would be as old as the Discovery...
No doubt they were assigned when Pike headed into deep space, years before the war, while folks back home wore the blue coveralls. Pretty much exactly as in the Kelvinverse, where the nice bright colors are only worn "out there" and dark blue or gray rules in "official" contexts.
What jars badly here is Number One's rank. If she's a Lieutenant Commander here already, why does everybody refer to her as mere Lieutenant in "The Cage"? Seems TPTB were simply too lazy to make changes to Romjin's costume!
Are there any real people with Una as a surname? Or are we to assume that Una is like Data, and has no other name? Of course, Spock is also listed as Spock, even though we have every reason to think he also has a surname, one he shares with Sarek and Amanda.
Is there any info one way or another whether the new shorties will ever reach Netflix?
Timo Saloniemi