Thanks so much. I actually am taking it to a mechanic that has in the past given very good alignments as things seem to be pointing more to that at the moment (since the tire rotations didn’t yield any changes).
But yes, when the tire shop did the second alignment, steering wheel was still off-center. My guess is they put it on the alignment machine without being super-careful. They have been nice, but I don’t trust their mechanical prowess too far, hence the now third opinion from the regular mechanic.