Is that just for programmatic messages, or all messages?
I could see problems if it was all messages. For instance suppose a relative coming to visit for weekend and due to arrive around 5 pm Friday. You get a text from them that afternoon saying that there was an accident that has blocked traffic and police say it will be several hours before the road reopens.
They ask if you would prefer that they continue as soon as the road reopens, which will probably mean they will arrive around 1 am Saturday, or stop and spend the night with another relative who lives near where they are currently stuck, and then come Saturday morning which will get them to your place around 9 am.
You text back "stop" to indicate the latter option, and now texts from that relative are blocked. Oops.