The drywall in my bathroom was put up yesterday, & has yet to be taped & miffed in. There are considerable uneven( up to an inch ) gaps in 2 of my inside corners. I don't want to let them start mudding, & end up with chipping or sloppy corners in my new bathroom. Any advice would be greatly appreciated.
It might look sloppy now, but if they are conscientious when taping and finishing, that will not be a problem in the least. It really would only take one quick setting-type coat before taping to get even a 1 inch gap as ready for tape as any other corner. (Assuming there is blocking behind it to back up the compound - there should be, otherwise what is the drywall attached to?). It's important though that the corner tape reaches the drywall - if it doesn't, there needs to be an additional run of tape over the filled-in gap. But other than that slight setback, the finished corner will be as nice as any other corner.
I can tell you as a 52-year-old professional house painter: The tighter the drywall is the fewer problems you will have down the road. Even if your drywall guy pre-muds the gaps you will eventually have a problem with the mud shrinking and falling out. I fix plenty of these problems every year. When I pulled the loose inside corners I always find that the mud behind the tape has failed in the big gaps.