It's not at all clear that this would violate the Extradition Clause or Extradition Act which implements it. The offense in question isn't illegal in California and doctors practicing in California won't have fled from the States that may seek to bring charges.
This law will give California governors another reason to ignore requests from other States, requiring them to try their luck with a writ of Mandamus from federal courts.
Todd in the Shadows' video about the many obvious errors and lies in Somerton's videos includes a bit about the cowriter Nick at 55:49.
https://youtu.be/A6_LW1PkmnY?si=EtBAYfEV9dpAD0-t