If what you are saying is that you don’t have to pay child maintenance because your ex is cohabiting, no, that is not case.
It is the case generally regard to spousal maintenance (if you were married) but not with regard to child maintenance whether you were married or not.
I’m sorry is not the answer you wanted.
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Whether you see the children or not is irrelevant for the purposes of paying child maintenance. Child maintenance and child contact/residents are mutually exclusive to each other.
It does not matter that your ex may now be a millionaire or living with a millionaire, you are still obliged to pay child maintenance at the Child Maintenance Service rates. I’m sorry, I know it’s not the answer you wanted but what you have been told is incorrect