I actually prefer working this way, if the LD is professional and works quickly. You and your crew have time to plan ahead for the next thing you're going to do, and you build everything once. The wardrobe crew has time to work out quick changes with the actors backstage, props don't get pre-set in front of boom lights, spike marks are actually visible in the scene change light, you don't have to go back and adjust things because one element throws all the others off. Have the cast mark through the tough physical stuff - the LD can make adjustments to that during run throughs - but otherwise make them go through everything.
If your theatre is making the choice to do this against your wishes, the only thing you can do is make the best of it, re-framing your attitude into "what can I do?" instead of "now I can't do that."
It's totally within your job to push the LD along. You make sure the rest of the company is set up for the next transition, or whatever, and then you go on headset and say "Alex, how are you doing?" and a minute later you say "Alex, are you ready to try this?" and a minute later you say "Alex, I'd like to try and get into the next scene before we break in 15" or whatever.
You also get on the god mic every time the stage action stops and tell everyone what you stopped for. There have been several times when I've checked in with the costume people or whatever and been told, "oh, are you waiting for me? I've BEEN ready".
CRAZY that your LD "has another commitment" during some tech hours. Kick, scream, and wail for an assistant LD or someone who can make adjustments during that time.
The house crew and acting company will take their cues from you. If you hate the process, they will too. If you are enthusiastic, they'll do their job without complaining.