The reason visitation is separated from child support is because a child shouldn't have to do without contact with a parent based solely on that parents inability to pay.
It is not in the best interests of the child.
What's not in the best interest of the child?
I can understand the reason for that conclusion. It's an easy cut-and-dry formula for a family court's decision. Yet, when it comes to a serious consideration of other factors, of which there are a number, the same court does not always rule in the best interest of the child. Each situation deserves to be looked at thoroughly.
My advice: don't do anything that will land you in court if you don't want the judicial system deciding for you.
I'm preaching to the choir LOL.