Not a good idea to use any type of foam or paper tape like this.

Moisture may be a problem with paper tape and some foam tape. That's why I
specified auto trim tape. The auto industry started using it not only to make
application quicker but to reduce corosion. Quality foam tape is not
hygroscopic and will hold less moisture than what will be retained in the thin
air gap under a Tinnerman nut due to condensation.

Long term degradation could still be a problem with the foam tapes. I have
seen no evidance that they will last more than 15 to 20 years.

Also if the Tinnerman nut is placed on a painted/plated/anodized surface the
eventual rub through is going to be more of a corrosion/crack problem.

70's model VW bugs would rust from the inside out due to the foam filler used
for sound deadning retaining water........all foam is not created equal.

If you still worried about the foam part simply substitute some of the trim
"tape" that is 100% adhesive.