I think crossplay can work with PlayStation and Xbox but definitely not with the Switch. The FPS and the downgrades needed to get said fighting game on Switch would screw up the online. Would be stuttery and laggy as hell. Look at SFV on PC and PS4 and imagine that 5 times worst.

"Say what you want about Americans but we understand Capitalism.You buy yourself a product and you Get What You Pay For."  

- Max Payne 3