So far, so good.
I swapped the CR2032 batteries in all three of my MOTU MIDI Timepiece AV USBs a week ago and haven’t had any trouble since. I’ve even powered things up out of order - traditionally, an absolute no-no - and seen no issues whatsoever. I hate to jinx it, but this aggravating li’l thorn in my side appears to be GONE! Woohoo!!!
THANK YOU!!! 