If the lift from these models is high enough and no alternative springs up, people will find a way to get to yes, but if OpenAI is willing to ship a Fable-class model on Bedrock without this, all the traffic will just move there. I say this because there is not much reason to use Bedrock unless you care about data sharing limits (ok, it seems more reliable than Anthropic's serving, but I don't think that's the major reason).
Of course, they could both decide they don't want the competitive advantage that having an AWS-controlled inference stack brings, but this is basically throwing out that advantage.
Note that this announcement is not just about Mythos, but also Fable, which is restricted from doing any Cyber work in the first place.