No, save me first!
If you have a “baby on board” sign and get into an accident, the paramedics will save you first. This is, according to one social media poster who gave us this life hack. If they do not find a baby, does not mean that they will not prioritize your life over others.
They just have to think there is the chance that there is a baby around to go into full-on rescue mode. Other drivers are also typically a lot nicer when they assume you have a baby on the road, and hopefully will react and drive with more caution when they see your sign. After all, how could someone express road rage at an adorable tiny human?