While I don't feel I have enough information to comment about the likelihood that Apple would try to stop the Asahi project, those who are knowledgable are of the opinion that they would not.
However, as a Mac Studio M1 owner that has used Asahi as a daily driver for software development since the first release (originally Arch, later Fedora), I can confidently say that I could care less. By running the software I want to run far faster than macOS could on the same hardware, Asahi has saved me countless hours and made me far more productive. And I'm incredibly grateful for this tangible benefit, regardless of what happens in the future.