WTP is correct, I forgot about the Baby sleepers and not blankets. Blankets are only used when you are holding the baby not when they are sleeping by themselves.
Please stop trying to defend the idea of having a tallis with strings anywhere near a baby, It doesnt belong there under any circumstances. Its never safe. babies get into all sorts of trouble. You need to minimize the danger at all times.
I personally got rid of all wires in my house that were easily accessable. I got rid of lamps and had lights installed directly