That would all depend on the state's child support guidelines. Some states don't take parenting time into consideration at all.
And even in 50/50 physical cases, if there is a huge disparity in income, there may be child support ordered. Child support could also be ordered in cases where the incomes are similar to reimburse the parent who is paying for the childcare or health insurance.
If you go to the home page of this website and click on your state, it will give you links regarding child support. You could also google child support in your state.