Kurotowa
Legend
Definitely, wizard, since this sort of complex magic is their deal. I could maybe see sorcerer since they have metamagic and this is sort of a "super extended spell." Strangely, the bard has a lot of permanentish spells on their list (teleportation circle, programmed illusion, guards and wards, symbol) so I could see them getting it, although it doesn't feel especially bardly.
Wizard, obviously. This is entirely their jam. The problem with Sorcerer is that they've got such a tight number of spells known. That makes it hard to both spare a slot for Permanency and harder to have enough other spells to combine with it for the pick to be worthwhile. You're right that it doesn't feel particularly Bardic. What about Warlocks? I can see them having the same problem of limited spell selection as Sorcerers, but it's not out of the question.
Here's another question. Can you only apply Permanency to your own spell effects, or can you team up with someone else? Because if it's the latter than you have to deal with Cleric spells being possible targets, including Enhance Ability. Permanent advantage on your main attribute? That's a pretty hefty effect.