N1, thank you for answering. You are not my x and I know that because I didn't have an affair, but you have a very similar mindset.
All of your 'reasons' for not contributing to your child's upbringing revolve around your xwife. It is her fault you don't contribute.
When your child is a young adult, are these reasons going to cut ice?? Will you be able to say, "well son/daughter I contributed nothing to your upbringing because your mother blah blah blah..." That will make you look crazy. It will only serve to complete explain and validate your x's decision to leave you.
That 'line of defence' is going to make you look deluded, bitter, selfish and mean.
And what happens one day if you wake up in 20 yrs and don't feel hatred and bitterness for your x anymore. YOu'll have sabotaged your child's childhood for nothing and it'll be too late to undo it. ONE childhood. That's all anybody gets.
The most worrying thing of all about your post, and the thing that is in absolute parallel with my own x's mindset is that you clearly don't understand that your xw had the right to leave the relationship, but your child will understand that part.
I hate to break it to you, but your child is not going to grow up and think "how DAREd Mummy leave Daddy? How very dare she?".
In your message to me you said, you didn't mean to imply that I had done "anything wrong, other than leaving the relationship."
It is not wrong to leave a relationship. It's sad when they don't work out, especially when there are children, but it is not a crime to leave a man. By not grasping this, you dehumanise your x.
You have taken the liberty of deciding that you won't contribute to your child's upbringing. YOu are stealing from your x by forcing her to incurr the entire cost. You're happy with that, it gives you some satisfaction, which you need, but believe me buddy, there's no way you can ever come out of this with the moral highground.
Your x has her childhood under her belt. Whatever money you give her for your child would make both their lives easier yes, but ultimately, it will affect your child's life and future more. Your child's opportunities, lifestyle etc... the people he/she feels confident mixing with...
If you ever do have the paper bag marked denial lifted off your head, and with new lucidity you realise that your x DID have the right to bail out of your relationship (whatever you both promised), then you will realise what a huge mistake you have made.
When your child asks for an explanation in 15 yrs time, you need to have something better than "I hate your mother and I wanted to make her pay for daring to leave me" ready.
Good luck to you with that one. Although, maybe you don't care that much. Maybe your child's good opinion of you matters less than a disposable income. In which case, who could reason with you? So, well done, spend all your money on yourself.