The days of applying a clear coat to seal a masked edge are long gone. Really long gone. Just another unneeded layer of paint for a higher paint edge.
So, if the masking material isn't grabbing and staying in place, there's some other issue. This could be a few things.
I have never used Frisket on any of my models. I wouldn't even consider it, but that's me.
One might think the thinnest masking material is best however, the stuff has to be flexible to lay down over curves and even if it's a tad thick, the applied paint doesn't have to be, just enough paint to cover.
There's plenty of flexible tapes and masking materials on the market. Over a lifetime I've tried many, some are better than others and unfortunately experimenting with products yield the best results. This can be costly, but worth the results for producing a fine model.
The background color on this model, first layer of gold, consisted of one mask for each wing half. This was a large and complicated mask, applied wet, so it could easily be put in the correct place by moving it around. No clear coat to prevent bleeding under edges because this material is of professional quality and sticks.
If paint is applied properly and proper steps are taken during prep with other materials, including primers, the removal of tapes or masking materials should not remove any paint when removed.
This model was masked in areas and some of the tape materials stayed in place for two weeks before another color was applied. This was the blue fine line. Removed easily and never lifted any paint.
BTW and FYI, the entire model, like all my models were finished using aerosol cans.
Simple, quick, easy, low cost and absolutely no mixing or clean up AND a bunch of color choices to choose from.
The future?