Paying child support is normally mandated...an order by the courts, within a separation agreement or divorce decree. It's something a parent MUST do, to be in compliance with the Court order. Like it or not. Comply or accept the ramifications......which of course, go well beyond what the law may do.
Being an active, involved and responsible parent is a totally separate issue. This is a personal choice....a decision made by the non-custodial parent.
Having said this, in terms of the "mission statements," you have read which claim that "paying child support INCREASES non-custodial parent involvement..........I'd be willing to BET my years of marriage counseling.....that the custodial parent is the silent culprit here. "You don't pay support....you don't see the children." This goes on all the time, everywhere.....between otherwise reasonable, loving parents. The poor children....the PAWN syndrome.
Bottom line? Child support aside (and certainly not because it is unimportant) Parents, your children love both of their parents. It is not only their sincere wish to spend time with both, it is, in MOST cases, imperative to their development and well-being, that they do have regular interaction with Mom AND Dad. Period.
Solve your payment/money issues anyway you can. if you are "allowing" or not allowing visitation based upon the flow of child support......try to remember how precious your children are. If you are VISITING your children because you feel you have a RIGHT TO GET YOUR MONEY'S WORTH.....try to remember your children, are worthy of your time and attention regardless of the COST to you.
The FACT is, these are your children, the single most precious gift you'll ever get. The MYTH is, that your children will be "just fine" without you in their lives.