Capcom gets money from Sony in making MHW Playstation associated, and gets money from Nintendo for making MH Rise console exclusive.
Nintendo knows Playstation can easily take their Japanese third party software sales and vice versa, so wouldn't surprise me there are deals saying everything buy PS/Nintendo.
Imo Sony has more leverage here as MHW is nearing 17m, monetisation is far bigger on PSN and, they can push the scope till its not feasible on lower end hardware. Would be great to see how much money is going through these contracts.