Well...
If greed would be his primarly motivation,than he wouldn`t be making donations
Jade noticed his cheating without having any solid evidence,they live together and know each other,they even work together,again there`s just nothing,nada,zero clues suggesting that the love of money motivates Burke.
I`m sure he has enough money to hide "hooker expesnes" if he would want that
40+ years old dude with some power,blackmailing young,sexy girls into having sex with him makes more sens to me than,blackmailing them to give him money so he can spend it on young,sexy girls...
The divorce is something we the players want,from his perspective,he managed to get his wife open to the idea of "sharing",he admitted to cheating I don`t think he expects a divorce.