Ownership here is something verbs can describe. Pair two Bioms and they trade a trait. Burn one into another and the survivor inherits everything — palette, organelles, the bodies of its ancestors. The burned Biom is gone forever; the new one carries it forward, permanently, on a ledger no one can rewrite.
Genesis → Hybrid → Chimera → Phoenix. A Phoenix exists only because someone fed seven other Bioms into it. The math is exponential and the loss is real — you can read its lineage like a sentence: the survivor of these. Most collectors will never reach Phoenix.