Except that with a prompt for a specific API, you can get specific on when it's appropriate. E.g.
"This website has asked for permission to use the Audio API. If they aren't actively doing audio processing, this may be an attempt to identify and track you. If you haven't been presented by the site with a good reason why to allow this access, and it's not immediately obvious (such as for a music service), consider whether you want them to have access."
This accomplishes a few things. First, it's very clear about the implications and when it's obvious it should be allowed. Second, it gently suggests the default behavior for people should be to deny unless needed. Thirdly, it communicates to sites (through users the appropriate way to ask for permissions if hey have a legitimate reason, which is to let users know why they need access. Lastly, if sites lie to users about why they need access, they can be called out on that. People don't like being lied to.
Now imagine getting 10 of these, as a user who has no idea what those words mean, nor care, because you just want to see the latest meme on Facebook, and you just blindly press Allow on everything and quickly become desensitized to all prompts.
"This website has asked for permission to use the Audio API. If they aren't actively doing audio processing, this may be an attempt to identify and track you. If you haven't been presented by the site with a good reason why to allow this access, and it's not immediately obvious (such as for a music service), consider whether you want them to have access."
This accomplishes a few things. First, it's very clear about the implications and when it's obvious it should be allowed. Second, it gently suggests the default behavior for people should be to deny unless needed. Thirdly, it communicates to sites (through users the appropriate way to ask for permissions if hey have a legitimate reason, which is to let users know why they need access. Lastly, if sites lie to users about why they need access, they can be called out on that. People don't like being lied to.