Nah, I don’t buy it. The assumption with this line of thinking is that trans women don’t inherently belong to that class of participation. The majority of a group (cis women) do not get to unilaterally decide who is/is not a part of the greater group (women).
If someone proposed a restricted class limited to PoC, it would be entirely appropriate to ask PoC what they think about the proposal.
But following this analogy through, you’re not asking all PoC. You’re asking the majority of the subset (for example, black participants) whether a minority of the subset (for example, Asian participants) should be allowed to participate or not.
In this case, the organizers of these tournaments are picking and choosing their own definitions for who qualify as “women” and listening only to those opinions. The decision is already made, and pointing to the remainder to justify the decision is working backwards from that conclusion.