Scramble vs Bramble

[bxk]

Inspired by the game posted earlier in this topic, consider the following happens. Brambler roots itself and creates a lot of barriers/children. Then scrambler takes over one of the children/barriers. Subsequently this captured barrier can then grow by himself, the player with the scrambler has 2 special units now.

The thing is. The captured barrier is actually a child of both players now. It has been created by P1, and thus a child of bramble, but it is currently a unit of P2, because it was captured.

The question is now. If bramble unroots. What happens?? As it is a child of bramble it should die, because if bramble dies/unroots, it's children are dead too right? So, the captured barrier would then be dead too and P1 has a certain control over the captured and subsequently created barriers of P2.

Can somebody tell me if this is true?

If it is. It's not such a big problem if a barrier is scrambled because the original bramble can then resolve the issue by unrooting.