IMO they should be doing way more to control push notifications, there's so much more control they could give the user, and many clear violations of their policies.
One of the best apps I've bought for android is buzz kill which lets you set rules around notifications. I have cool downs on family chats and social media so it doesn't keep buzzing when things kick off, filter Amazon alerts to only "we're two stops away" and "We've delivered" messages and dismiss the rest.
I have custom buzz patterns and sounds for urgent alerts and rules that batch notifications depending what WiFi I'm on, time outs on things that don't matter after a few hours etc.
My notifications list is now way smaller and far more relevant.
Also quickest way to sort out notifications is to take your phone off silent. Hearing everything coming in, you see more when it you can then decide if the notification should make noise, or exist at all on a per app basis.