When I did SMS-banking for a candidate, there was always a real person behind the messages. However, that consisted of queuing up a big list of numbers and a templated message and clicking "send". Likewise, if someone responded, the software only let us pick from a handful of pre-canned responses. We did have a button to remove people from the list, and were supposed to use it for anything that sounded like a request to stop contacting them (your message would count).
I’ve had various degrees of engagement. Some send a canned message that I’ll be removed. Others respond and engage a bit more. Some of that likely also depends on how I frame my first reply.