I think your program sounds unusually organized, not just in comparison to H/J. I’m a former hunter turned eventer, my barn doesn’t do any group lessons but I still don’t see any reason for my trainers to keep a strict schedule of training rides. Most training rides take place in the middle of the day while boarders are at work so the trainers can teach lessons in the afternoons. We all know horses can be unpredictable, I want my trainers to be able to make changes to the schedule as things come up. If the horse before mine throws a shoe they should be able to grab mine early and keep going; if they knew I was planning to observe that day they can grab another horse early and my session might start a little late, no problem. And I want them to be able to take care of their own needs too if they need to take a longer break or take a personal call or something. I could ask them for detailed updates if I wanted to but they do a good job keeping me informed, and most progress doesn’t happen fast enough to need updates more than once a week or so anyway.
I try to treat my trainers as professionals the same way I want to be treated at my job. No micro-managing, respect that I know what I’m doing, let me handle my own schedule, don’t set up unnecessary hoops to jump through if everything is going well. As long as things are trending in the right direction and lines of communication are open I’m willing to let them do whatever works best for them.