If I'm not mistaken, I believe that the current versions of this card currently have 2 active skills, Phoenix and Mitosis. While Phoenix is not an active skill that can be clicked for use, it can still be lobotomized, like the Phoenix creature can. And as I'm sure you know, if the Phoenix is lobotomized and then destroyed it does not turn into Ash.
If Phoenix were turned into a passive it might make more sense thematically and work better with this suggestion. Alas, as the game currently is, this card will face some challenges.