It's not just Web Push, most permissions should be user-prompted, not site-prompted.
If the user doesn't know how to enable those permissions, then they also very likely don't know how to disable them either, which is a problem. If they don't know those permissions exist, they also probably don't know what the implications are of turning them on. Giving them a bunch of yes/no dialogs to click through doesn't change anything about the obligation to educate users about their device permissions, and if they are educated properly then they can set those permissions themselves.
Google (and browser manufactures in general) kind of taught people that the way we do permissions is that apps ask for them and the user says yes/no, and the app responds. It's not entirely only their fault, but it's the wrong way to think about it in my opinion. I'm not even sure I like the word "permissions". Most permissions should be better thought of as "capabilities" and they should be something granted by the user, not requested by the app, and the app shouldn't be able to tell the difference between a phone/platform that doesn't support those capabilities at all and a phone/platform where the user has denied those capabilities.
A lot of issues about how permissions aren't scalable or how they don't work stem from the way we think about permissions as if the default UX for them should be that they're handed to the user like a EULA to sign.
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I'm still bitter over the fact that Chrome blocks webaudio behind a user action and literally breaks the website audio if you accidentally set it up when that permission isn't granted yet, and then disables all of those protections whenever you navigate pages within a domain. It's ridiculous; what should have happened is that by default, tabs in Chrome should just be muted globally, and audio code should just continue to work normally so that a massive number of web games don't just immediately break, and the user can untick the mute button and turn on sound for the very, very few websites where most users want sound.
I'm bitter that they made all these justifications about how blocking the audio was important because it would save mobile data, and actually what happens is all of these sites just mute the audio by default, stream the video on mobile data anyway, and then unmute the video as soon as the user clicks anywhere. It's a bunch of bad justifications for a UX that makes it easier for websites to abuse users. We could have had more user-friendly behavior and not broken the entire web, but Chrome wanted to try out some weird statistical model for blocking/allowing audio playback instead of adding a button.
The "spamming requests for things the user doesn't care about" problem is a lot easier to deal with if you invert "permissions" into something the user requests and not the site.