I feel MS/Xbox see the studio acquisitions which have video games releasing on Ps as a form of bonus in a couple of methods.
It lets the builders know MS is not interfering of their work, and that the work they put in to the PS model of the sport will nonetheless attain these followers. Beginning off the connection with the builders on the appropriate foot.
It is most likely fairly worthwhile for all concerned, together with MS. Sells from a bigger platform, within the case of Deathloop Sony can also be paying for that exclusivity as a substitute of investing in an IP they personal.
Plus it builds a fan base for that recreation which may find yourself taking part in a sequel, if one is made, by way of Gamepass on PC/Xbox/xCloud.