Where did the targaryens get the idea of drinking wildfire = turning into a dragon? Or juat that wildfire can hatch an egg?
Aerion "Brightflame" Targaryen is the only Targ who drank wildfire and believed he could literally become/transform into one.
Aerys II became obsessed with wildfire once he realized how vulnerable he was against rebellion (Battle of the Bells and the Defiance at Duskendale) and would later surround King's Landing with it in a mass murder-suicide if threatened. Wildfire, to him, was an extension and mimicry of using actual dragons, showing his desperation for power. Aerys II's regard for wildfire was more metaphorical than it was for Aerion. He was still insane, though, like Aerion. He was of the paranoid sort, gone to a place of no recovery from him believing he would lose power at any moment after years of trying and failing to sire children.
Other Targaryens like Aegon IV, Aegon V, & those at Summerhall, used wildfire while sane. Not to "become" dragons but just use it as a simple device. There was no madness and no twisting wildfire to be something that it is not, at least not any twisting that was itself not a an experiment made from measured logical conclusions. Aegon IV for warfare. Aegon V, Maester Corso, Duncan the Tall, and Prince Duncan all wished to restore dragons by using wildfire to heat up and “activate” some eggs that never hatched. Even Aegon III and Viserys tried together by bringing in some sorcerers and the like from Essos (though not with wildfire).