The owner of a thing deciding to whom they wish to provide access to the thing they own, is a necessary consequence of the concept of private property.
The only two alternative to a private entity making this decision are a government making this decision, or nobody making this decision, the latter of which is equivalent to both government and a private entity making the decision to do (1).
Consortium are entities, and the CEOs of Anthropic and OpenAI at least are openly begging for feedback with all their efforts to handle this, openly asking everyone else to figure out what the rules ought to be. Even if you think that too is a cynical ploy, they're asking.
The only two alternative to a private entity making this decision are a government making this decision, or nobody making this decision, the latter of which is equivalent to both government and a private entity making the decision to do (1).