will it cause issues with receiver when multiple senders try to send at the same time? Wont it cause chaos in the sound waves ?

This is a problem with any kind of other radio spectrum emission -- the way they solve this is by multiplexing, in various ways. Here's a quick google intro:

https://www.intechopen.com/chapters/66562

Some packets may get lost, but thanks to checksums we can detect and try some other clear channels/methods/etc.

Seems like you could just use algorithms used in other wireless communications.

so nostalgic