Riddle me this, Batman!

In all the timing tape I installed, I think that I got one to stick more than 15 minutes. I usually index the damper and make my own marks before installing. Might have light advance springs with the vacuum advance hooked up. Or maybe no advance springs. That is what I would check. You didn’t use a older timing cover with the scale on the right side on your 360 ?
I have had decent luck with the tapes. It a lot easier getting the balancer really clean with the engine in a stand.

Timing scale is on the right side, looking at the engine from the front. TDC coincides with damper and TDC mark on the cover.