My opinions on each and every ability seen here:
Illuminate: Fine ability, and the argument that we don't have persistent glow is just false; we even had a discussion when spriting about how the tail flame glows.
Dancer: No. We have no dance moves, and we don't really even have dance flavor.
Healer: Totally fine from a gameplay side, but I'm not a huge fan of the flavor. Healing is something we do, but it's not really a major theme. I don't look at Astrolotl and go "Ah yes, that pokemon is a healer".
Cloud Nine: I think this is fine, both for flavor and viability. Not a top pick, but I'll include it on the list of things I'm okay with.
Oblivious: I don't know about that. While "Cloud Nine" has similar flavor, oblivious just has negative connotations that I feel don't quite fit with out happy magical girl pokemon.
Friend Guard: I like this one quite a bit. Magical girls are all about friendship, usually, and protecting people is a major thing they do.
Aftermath: I think this is flavorful, but I'm a little concerned about how it has an impact on the gameplay, even a not very competitive one. Quite often this will give out some extra damage you otherwise wouldn't have gotten, and while it's nearly impossible to rationalize it over Regenerator, I feel like it just would have an impact in too many matches for me to consider it "purely flavor". I'd much prefer a much more useless ability.
Anticipation: This I have a similar opinion of as Aftermath. Sure, it's a bad competitive choice, but it does have an impact on competitive games if you chose it for some reason. And I don't really even see the flavor for this, unlike Aftermath.
Insomnia: Bleh. I hate this idea. Insomnia isn't a "awake or active at night" think, it's "literally can't sleep if you want to". It's got a strong negative implication in my head, and I don't think it fits here. Sure, many pokemon that have it are nocturnal, but they are almost all dark-and-depressing-themed pokemon.
Limber: Again, similar to Aftermath and Anticipation, this would be a bad competitive choice, but not an unworkable competitive choice, and I don't like that. 114 base speed with immunity to paralysis is nothing to sneeze at.
Natural Cure/Magic Guard: There were a major discussion point as a primary or secondary ability. I cannot see any reason why this wouldn't just straight up be banned as they are extremely competitive.
Cute Charm: While it might matter once or twice competitively, I think this is past the line where it is something to care about, given it requires contact, 30% chance, and opposite gender. I think this is within my range of "useless enough to get my full approval". As for flavor, it's totally on point.
Heatproof: Umm what? Yeah, it's useless. But... it's bizarrely useless. We already have 1/4x fire resistance. As for flavor... again, what? We're fire type. Our tail is literally a fire. We aren't heatproof; we are heat tolerant. This one makes no sense to me.
Own Tempo: Sure. It's niche enough and flavorful enough.
Vital Spirit: This is a way better insomnia from a flavor standpoint, and sleep is rarely a big competitive threat (thanks Sleep Clause) so this shouldn't be a problem. Solid option.
Flame Body: This feels a bit too competitively useful. It could completely change a match if you get lucky; Burn is such a good status that can completely ruin a physical mon's day. If it were a dead-on flavor match, I'd be fine, but as generic filler?
Frisk: This is another of those "nowhere near as good as regenerator, but still usable in every match" abilities that I do not love. Knowledge is power, and since every pokemon in competitive has an item, this isn't a purely flavor ability IMO.
Shed Skin: Similar to frisk, this feels a bit too usable, but also I feel like this overlaps flavor-wise with regenerator. Regenerator represents our Axolotl half already. We need to represent the personality, the magical girl aspects, the fire typing, the support role, the firework flavor, the space flavor, etc with the other 1-2 abilities.
White Smoke: Fine power-wise, and great flavor-wise. I'm not concerned about the gunpowder argument really; we're magic to begin with. Make it magic smoke. A solid option.
Super Luck: Pretty fine power-wise, and decent flavor-wise. Solid enough.
Magician: An interesting idea. I like it. Sure, it could have a minor competitive impact, but it's at the cost of having no held item, and I can't possibly imagine giving up both Regenerator and a held item for such a minor benefit. Good option.
Wonder Skin: This feels niche enough and flavorful enough. I'm fine with it.
Pastel Veil: Eh. We are more "neon" than "pastel". This one doesn't really fit the flavor for me.
Marvel Scale: Niche enough and flavorful enough. Fine.
Blaze: This could definitely have competitive impacts. Small ones, but if you get lucky enough, our speed plus attack could make this usable. I don't really want this one.
Emergency Exit: Yeah I don't see it. Sure, we're a firework. Fireworks go up and explode. They don't run away and come back later. It's also a signature ability. I don't really like or get this one.
Levitate: **** no. Holy crap man. Did you just say "let's remove ground mons from our threat list; it's purely flavor!?" We have 3 weaknesses and you want to ditch one of them as flavor!? Not to mention that coinflip immunities suck to go against, as we discovered with the previous CAP! And to make it a coinflip between "x2 damage" and "immune"?! No, no, no, and no.
Serene Grace: Another fully competitive option discussed in the secondary ability discussion; nope, not doing this.
My personal favorites: Magician, Super Luck, White Smoke, Vital Spirit, Cute Charm, Friend Guard, Illuminate.
My personal soft vetoes: Pastel Veil, Shed Skin, Frisk, Limber, Aftermath, Oblivious, Healer.
My personal hard vetoes: Serene Grace, Levitate, Emergency Exit, Blaze, Flame Body, Heatproof, Natural Cure, Magic Guard, Insomnia, Anticipation, Dancer