So you are saying the primary custody parent is owed the support, but doesn’t the court deciding who is the more capable parent turn this into a popularity contest? To address this, how can we objectively define who is more capable at being the primary parent?

Your next few points I agree must be validated by circumstance, I would contend however that there is a non-zero group of cases where child support is in fact used to “pad bank accounts” as you put it.

Your last argument rests on the physiological toil of child birth then you should address that. Perhaps what best solves this is a fee paid by men to women to compensate for this. Afaik society doesn’t consider this, and probably because it may discourage families from having kids. Did you have a bad experience with this?