Yes, but also no.
More granular browser API permissions would be fantastic, but the current interface for grant/deny in all the major browsers is annoying enough as is. The prompts need to be moved to a less in-your-face place, or at least have the option to be. I almost always find myself clicking "deny" because no, I don't want to give your recipe site permission to show notifications.
Somewhat related is the new "sign in with Google" prompt I've been seeing on lots of websites. I accidentally clicked it when visiting the Seattle Times website and have been working inundated with spam emails even after clicking unsubscribe.