School groups vary. Some kids are interested, some are not.
I have had some bad experiences with school groups who did not know how to behave in a theatre - mostly Shakespeare plays because of where I lived. Some were enjoying them but were not used to keeping quiet. Some just did not want to be there.
And, even in the UK, I've seen school groups that are as well-behaved as you can reasonably expect a bunch of kids to be and I've seen groups making a lot of noise and running around with their teachers (or whoever) vainly trying to maintain some semblance of control.
You do realize that the original Shakespeare and similar time period plays were MUCH more like how the kids did it, right? Plays in that century were bawdy, vicious, and just nuts. And to be fair, Shakespeare's own material talks about stuff, if modernized, would be considered rated 'R'.
Sitting quietly to watch a show is pretty recent. Even classical performances were louder with praise and en-core requests shouted out loud.
I'm not exactly sure when the 'sit down, shut up, and listen' happened, but yeah.