Corrected entry: Arthur Petrelli steals Adam Monroe's power and he crumbles to dust because his power was all that was keeping him alive. On the same note, when Arthur steals Peter's power, shouldn't Peter regain all the injuries that Claire's ability let him heal from, such as the injuries from throwing himself off the roof with Sylar and having several chunks of glass embedded in his head?
Corrected entry: When Hiro and Ando go to Daphne's apartment in France, they take her medal for 1st Place 100 yard dash in the 12th grade. When the eclipse comes, however, she said she had cerebral palsy up until a year ago when she gained her power at the first eclipse. Either this is an error or Daphne is still a teenager.
Correction: Not necessarily. Claire's ability healed Peter and made him healthy. From that point on, sure, Peter could no longer heal. But it doesn't mean his healed injuries come back. When Arthur takes Adam's power, we can see it age Adam instantly. Remember Adam is over 400 years old. What we see happening is his 400 year old body withering because he can no longer heal. Peter is in his 20s, so this didn't happen to him.