What immediately bugs you when watching an episode? Mine is when they transport someone sitting down and they reintegrate in a standing position (or vice versa). Sure, the tech is near magical but my suspension of disbelief pretty much snaps when they do this.
Accelerating the ship never pins anyone to the rear wall. I don’t care if the have gravity plates or whatever in the floor.
It’s inertial dampeners. The gravity plating makes them stick to the floor. The inertial dampeners dampen the inertia.