Man, is NOTHING simple and straightforward???
So I thought I had it all figured out in the above post. But ... when I just tried a 131x131 graphic on a different template ... it did not work! Turns out that this time the maximum was 106x106.
It seems pretty clear to me it depends on something more than just dimensions. It may be file size. In both cases (the template discussed in the above thread, and the different template I was working on now) what worked was either well under to just under 48K file size, and the sizes when both graphic files were no longer seen in the Smart Screen was just over 48K (e.g. 48.3K). Coincidence? Maybe, maybe not.
I think I've had enough for today. If anyone concludes anything more conclusive, please to post here!
Have a great evening!