It’s been a long time since I’ve worked in a shop but there were two ways we mounted bindings.
We had drilling jigs that were pretty much impossible to drill incorrectly as long as you used the proper drill.
The second was use a template to lay out the screw locations. If you didn’t pay attention the center line alignment could be off a bit.
Agree with Marz there could be other things. If you have wood core skis some of the laminated pieces might have a different flex pattern.
A few years ago I had a shop do a stone ground and they put a right ski sticker on. Just for the heck of it I started using it as labeled. I can actually tell the difference now. They are in need of a serious tuneup. I have a feeling that once I do it I won’t be able to tell.