It's more like that people's typical experience of LLMs doesn't go beyond human-initiated conversations or conversations triggered on cron or some obvious event handler coded in deterministic/"legacy"/"boring" way. Most of us, I believe, also try and steer agents away from messaging other people when such possibility exists.

It would be interesting if we didn't - if it became common that AI, in the middle of some task, starts chatting with people to e.g. gather more context. The perception of those "third parties" may suddenly become different - an agent striking conversation first, obviously pursuing some agenda of its own that it's not completely sharing, and communicating on its own schedule that's clearly not just a hook firing on timer or pattern-match, and not random, but visibly causally related to things happening at work in broader context.