At my job, we do almost all the work by text messaging. The problem is too many messages at once, and people texting when they should be paying attention in phone meetings.
On the other hand, you can just not reply for a while if you’re concentrating on something else.
When we got Blackberrys at a previous employer, they became known as “Crackberry’s” because using them in the middle of meetings became addictive. Head down meant “tuned out”.
That’s why I prefer to text, even on my personal time. I don’t get tied up on the phone listening to nonsense. I can respond at my own convenience.