Face Sets were added to control the visibility of all paint modes and currently, they are rendered as colors (which is the easiest way to debug them and work with them from sculpt mode). This won't work for vertex paint and texture paint (and any other mode that works with color), so a different rendering needs to be implemented that does not affect the color of the surface as an option these painting modes.

If possible, this should be implemented for the current sculpt mask (add an option to render it as a contour line, similar to the lasso selection) as the same mask implementation and rendering will also be used for vertex paint.