Does your religion have lightsabers? Nope? Didn't think so.
"A person is smart. People are dumb, panicky dangerous animals." Agent K. Oh my what he would think of people had he known about what the internet would become.....
After posting this, I found one picture example in the rules which addresses this. The player causing the damage adds the reduced damage points to their score, just as you stated. Thank you very much!
And thank you for the confirmation!!