Court supervised visitation sucks.
It occurs at the Courthouse and is NOT fun for kids.
It places your children under a microscope and is just generally uncomfortable for everyone involved.
In addition, it can become very expensive if supervised visits are ordered long term. If you have court supervised visitation, you will have to pay for each visit to be supervised. This can become very expensive if court supervised visits occur multiple times a week or if the visits are happening over a long period of time.