Yes, having transferred parts from one to another on various models, keeping pinion shims with the housing works fine. Housings are machined but gears are ground making them more consistent. Even with taking gear variation in account, once things wear the pattern changes.

Another consideration. Gear sets in general are categorized as Hunting , Semi Hunting and Non Hunting. A Hunting gear always has the same drive tooth engaging on the same driven tooth. Semi has a repeating pattern and Non a pattern where each tooth eventually contacts another tooth.

If one takes apart a Hunting / Semi gear set and reclocks it, it might make noise / have variable backlash. I have not gone to the extent to mark or check what system gear sets I'm working on use.