Should fathers who are denied visitation rights be required to pay child support?

Before everyone gets toxic (a lot going around unfortunately), I'm not referring to fathers who where denied visitation rights because they were physically/sexuality abusive. There are many fathers who are on the receiving end of vindictive mother's who uses her children as political pawns to hurt/get at her ex, not allowing the to see his children are one of the vindictive tools used. It's my opinion, if the father is making an effort to be a good father and be in his children's lives, but the mother is being vindictive, then he shouldn't be forced to pay child support until the mother stops being vindictive.

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Should fathers who are denied visitation rights be required to pay child support?
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