lets assume adam and claire’s power are exactly the same. try to remember arthur needed to steal adam’s ability to be normal again. there was also the fact that arthur didnt know that the catalyst was a person or that he needed one.

with the regeneration ability sylar, arthur, or peter cant be the catalyst coz it isnt their core ability which and doesnt run naturally through their blood. well thats wat i think if that makes any sense.

…maybe not… I don’t know

maybe peter gets all his powers back somehow including sylar’s hunger. thats why future peter told him he needed it to save the world. the haitan dies (i dunno, by gun fire maybe), which leaves peter with a choice to steal his ability by opening his brain when he’s already dead and studying it.

but i do remember kaito mentioning someone of the light or purity in his video to hiro. it could be claire too coz she’s special like sylar said.

As im guessing everyone knows that the Heroes lose their powers and yes so does Claire thats why she is struggling to survive but we know that she doesnt die cause of episode 12 “Our Father”.