I've played both dungeons, and I have to say as a healer I would be fine with either. The only thing that would irk me is Neverreap's 3rd Boss, since the only tools I have when he's coming after me are Assize and Tetragrammaton(aside from Regen and Swiftcast+Whatever). Asylum has NO PLACE in that fight whatsoever except in the DPS portion.

As for Fractal, the dungeon trash can be dealt with via application of Eye for an Eye, Asylum, and Assize. Thing is, if I'm running that, I'm gonna have to pop every cooldown under the sun since it takes about 5 minutes to kill all the trash(with an extra application of Aero III) and the fact that most tanks tend to mass pull the mobs when they probably shouldn't in these dungeons. The last boss isn't that hard, aside from killing the ADDs. Asylum helps mitigate damage somewhat through a HoT, Esuna Aetherochemical Bomb, Heal.