I think most people would just use media server software like pixera, d3, touchdesigner etc to accomplish playback of video on a moving surface with feedback sensors.
It’s established tech, plenty of integrations, and most companies that are able to deliver something like this aren’t a linux-first type of company.
If it was for an installation, something bespoke might be made using Linux. But the cost of touchdesigner and a suitable computer are tiny compared to doing this using Linux and then supporting and documenting it (especially considering how widespread skills in touchdesigner/pixera/d3 are in the industry Vs more esoteric Linux skills)