Thank you for those replies. (I thought I had replied last night to the first reply, but it doesn't seem to be there.)
This is a most useful option. I can see how it can impact syncing as phred points out, and I'll keep that in mind.
Right now, I'm doing my first real systematic tagging, sorting, and reorganization of a huge collection of files, and being able to retain a stable "acquisition/creation" date across multiple tag edits, without everything ending up with "todays" date, is really important. Very impressed so far with how MusicBee is letting me do this. I've downloaded the Additional Tagging & Reporting Tools plugin. Up to now I'd been using Winamp and Mp3tag. Like night and day!