It does sound neat. But I just buy the type that come in a stand up tube that you squeeze and it only lets a certain amount out. Not sure if I can say the brand name on here, but this is the only type I buy my daughter. She can't squeeze out more than it will allow in a squeeze. But she still does manage to get it all over the counter when she spits some out or lays her toothbrush down!
I always like to lay a washcloth out for the mornings and she can use to wipe her mouth and I can also wipe up all the mess!