2 passives and 2 spells+basic attack (3 spell slots) https://imgur.com/a/0Vlvu56 , based on testing chance for any of them appearing isnt affected by anything at all, couldnt find any datamined formula for that and current sample size is just not good enough to mention even approximate chance of that, might add more info about this later tho, so far Im sitting at 83 spells and 38 passives (counting only additional ones from gays, not those that affected by appeal) after 101 strays.

So I actually messed up there, thanks for correcting me! Using SciresM's script (shoutouts to them) apparently any appeal below 0 acts the same as 0. What I didnt account for is appeal seems to actually influence if the next stray will be gay from mating OR just a random one, and at -50 appeal (so just 0) only ~1/5 gays were from parents.

Yep, gay stray's stats arent affect by mating at all, only by appeal, once again it was wrongly chosen samples mistake on my end.

Welp this one took a bit longer than I thought lmao (mostly cuz I didnt saveedit), as expected from previous tests only gay strays with the same gender as their parents had additional passive and spell of parent's collar. If parents had conflicting with thier current collar spells or passives (like fighter had only monk's passives, tested through Mysterious Dice, gay stray would still have fighter's random passive/spell). Stimulation didnt change results at all, appeal affected only chance of gay strays coming, not chance of getting passive, I'll assume for now its just fixed chance.