I have "sealed" primers in place on my reloads using fingernail polish since 1980.
I put "sealed" in quotes because this is more an exercise in vanity than functionality. Unless you're trying to protect against solvents (most of which also attack the fingernail polish), the fit between the primer and the case's primer cup is already tight enough to protect against mositure incursion - even with decades of storage - that additional sealing is not necessary.
Over that 42 years that I have been "sealing" primers, I have had zero problems. The speculative problems (I.e. the dried polish might flake off and clog the firing pin, clog the firing mechanism, or the solvents in the polish attacking the brass) have never occurred.
My experience is that you can paint your primer's edges with fingernail polish with no problem.
PLEASE NOTE: I DO NOT use fingernail polish to "seal" bullets into the neck of brass cases, so I cannot speak to that aspect beyond saying - due to a boating accident - 58 rounds of my reloads (primers sealed, bullets not sealed) ended up submerged in a lake. When recovered and allowed to dry for 24 hours, each round functioned flawlessly.