Is the what we are talking about...Butyl Rubber Tape - Flexible tacky adhesive Sealing Tape
If so, it does remain sticky until enough stuff is stuck to it. I would wonder how UV resistant it is.
I have used PL Polyurethane for a sewer vent repair, has worked very well, stayed ply-able. On it's third season now.
Ck your black tank vent while your up there, if fact ck 'em all.
"Sticks & stones can break your bones...and hail will dent your Airstream"
So when is this..."old enough to know better" supposed to kick in?