You can definitely process video files with Photoshop.
import your video
convert it to a smart object (Layer/Smart Objects/Convert to Smart Object)
apply your filters
export it (Export/Render to Video)
If you need to export as prores422, you will need to install the adobe prores presets,
https://www.adobe.com/support/downloads/thankyou.jsp?ftpID=5411&fileID=5030
here is a discussion on installing the prores presets.
https://forums.creativecow.net/thread/3/926026#938344
thanks for the tip on the smart sharpen in photoshop, Frank. I’m excited to experiment with it.