Thanks, everyone, for the feedback.
It was as all of you said, a poor battery connection.
I pulled everything battery-related out and wire-brushed/scotch-brited and reassembled. I cleaned the battery cables/terminals and the chassis ground point.
The chassis ground point wasn't totally loose, but it required almost no torque to get the bolt out, so I think that was the culprit, as the frame there has good paint on it, and if that star washer isn't digging in, the contact is weak. I scotch-brited around the hole, wire-brushed the bolt and washers, then torqued it down well, and the tractor started right up.
I have always made certain that connections are checked in cars I have restored or worked on. However, because the tractor is less than a year old, I did not look at a lack of contact as the first potential issue. As this is my first tractor, I am quickly learning that they wear differently than cars.
Thanks again
-Andrew