That's good for your divorce settlement, though. If she had no income, you would have to pay alimony. When it comes time for court, you will have no verifiable income. You are actually in a position to ask her for alimony. You might get 6-12 months of payments out of her, no joke.
Women usually get custody, and that means you have to pay support, which gets ordered even when you don't have a job. But the amount ordered will be very minimal if you have no income. If you had a normal w-2 job, she would get 25% right off the top. You want to look like a jobless deadbeat to the divorce court. Tell them all about your evil gambling addiction that has left you with negative 10k/mo in income
That is a good way to also explain where the money has gone that you are squirreling away. Take it out in small amounts and pretend that you spent it on scratch-off lotto tickets.
None of the court BS has anything to do with the actual support that you provide to your son. But you want the money you spend on him to actually go to him, instead of the court garnishing your wages and giving that money to her.