>>17792439 (OP)
The greeks tought any virgin woman absorbed the seed of the man that defloed her first, turning her part of his bloodline (they knew about microchimerism). This is the reason they were autistic about not allowing not blood related men around their women
So by this logic as long as you deflowed your wife first, any demigod son she would have by Zeus or other gods it woud be still blood related to the legal father
And besides, cucking or not, you shouldnt waste the chance of potentially raising and bond with a future demigod that can lift mountains and single-handley conquer kingdoms for you