You probably won’t have the same strength with fiber reinforcements in a SLA print. As stated above the strands will tend to orient flat in the layers causing them to act more like a FDM print in that direction.
You do need to check that the resin will adhere to the material being added. In the composites world some materials just don’t stick together (some epoxys and fiberglass for instance).
I’ve printed with a a few different materials added to resins (on my Form 1). You would be amazed at what will print. Aluminum, copper, microspheres, and tungsten powder will all print. Not exactly functional but they will print.