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I think Dany had a lot of fears and bad thought about her future with muts, but as long as she grew up, she start to like surface so much, than she doesn't want to come back to people. But also she clearly understand herself as a human. Living with muts she started to proud of who she is, and because of that her transformation into mega was more fast and independent, than John's.
John needed more time and trainings to normal transformation - he grew up with not needing mega abilities for a long time. So Dany will have more advantages anyway.
Dany - white mega-varan, John - mega-wolf
Just - suddenly - Kipo and Game of Thrones crossover, where Houses are the leaders of various human shelters, the Wildlings are people who refused to leave the surface, and the Targaryens are scientists who experimented with muts and died in a laboratory accident.
P.S. Daenerys and John are half-muts, and they only survived after the accident. Ned takes John to his shelter, and Daenerys is considered dead, but really she was raised by a group of muts.