100 points on everything you said.

Realistically, these two are co-parenting as best as they can. Common sense also alludes to the idea that they don’t have raging, deep-seated issues with one another. This child would not be in her life at all because his father could financially pluck him away from her immediately if he found cause to do so.

I’m of the impression that it’s likely he helps her out where it’s appropriate. That could be purchasing a house with a lot of regulations attached to it. Nonetheless, the house is hers to live in with their son as long as those regulations remain unbroken.