Do you think it is rude when someone just stops chatting in a PM conversation?

Many times I get caught up in things like my kids or husband asking me for something, or one of my family members or friends might call me. Sometimes I don't get back to SW until hours later or the next day. There is a human being behind that screen who may have a very busy life, and certain things end up taking a default backseat is what I am saying 🤷🏻‍♀️.