The other day I slammed the brakes at a green light, because I could hear sirens approaching -- even though the buildings on the corner prevented any view of the approaching fire trucks or their flashing lights. Do Teslas not have this ability?

I don‘t know whether Tesla‘s self-driving mode could do that.

However, notice that deaf people are allowed to drive, ie. you are not expected to be able to have full hearing to be allowed on the road.