I like it when people interrupt what I do when the server I moderate and therefore are responsible for is atm being swarmed by people spamming senseless shit into the chat or someone going of the deep end and yelling racist slurs, thank you very much.
When I was single I would have had time for 3 of them - total in my life. I think systems should automatically block all requests for notifications if you already have 3 since it is not possible for more than that to be useful. (the exact number is debatable, but 3 is close). Note that I said systems - I want firefox, chrome, ie, safari to work together across all the computers I have to keep the number down - for security reasons I understand they cannot but that would be ideal.
But we are in an age where any random website wants to send you realtime push notifications.
Instead of pestering you with an overlay that takes up screen real estate, the browser should indicate what subscription options are available for a page, e.g. in the address bar next to the page info icons.