What happens when messaging groups get to big?

Anyone else notice when messaging groups get too big, the quality goes down dramatically? Like if you're in an iMessage or WhatsApp group where people keep getting added, it has some sort of natural size ceiling before it devolves into annoying-ness. In the last few months I've left several text groups (or at least muted them) that have just got too chatty. The main problem is your phone pinging 100 times a day from a single group...that's personally too much for me to handle.