Not muting pings, but maybe an "I get it" mode: Filtering pings
If someone pings me once that's always a good thing, I think there could be a feature that restricts repetitious pings. Someone alert pinging you eight times every three seconds because there's a low hp jungler waiting in the warded bush and you know you're gonna be fine but your teammate wants to just warn you a little.
Look I think the teammate should warn me, Once, maybe even say "I'm on my way"..... Once
Not ten times. seriously i sometimes get people who ping every time they are able to possibly ping.