In 2018, RH gave testimony in a vehicular related lawsuit where he was the plaintiff. He discussed his "handedness" (left v right) at that time. I've had this testimony in mind whenever someone raises this issue. I'm going to try to paste it right in here with the link.
On p79, the questioner asks RH if he is right-handed or left-handed.
A. Left.
Q. So do you write with your left hand?
A. Yes.
Q. Do you play any sports?
A. Really only thing I competed in was competition rifle.
Q. If you were to throw a baseball, what hand would you use?
A. Actually, my right. It's the only thing I do right-handed.
Q. Did you ever bowl in your life?
A. At some point, I remember being on a bowling alley--I have not been on a bowling alley in, probably, twenty/20 something years.
Q. If you were to bowl, throw a bowling ball, which arm would you use?
A. Anything that I throw, I do right-handed.
Q. If you were to swing a bat or a golf club, would you do that right-handed or left-handed?
A. Last time I swung a golf club or a bat, again, would be twenty-something years ago; would be right-handed.
Q. I assume when you say you write with your left hand, are you claiming to be left-handed or right-handed?
A. I am left-handed.
Q. What else would you do left-handed?
A. Pretty much almost anything else. Swing a hammer is left-handed. The use of any carpentry tools is left-handed. If I was to throw a baseball or a dart, that would be right-handed.
Q. When you eat--
A. Left.
Q. ~--do you cut your meat with your right hand and hold the fork in the left hand and then feed yourself with your left hand --
A. I use --
Q. ~--or do you switch?
A. I have been known to switch. The majority of the time my fork is in the left hand.
Q. Okay, but when you're cutting meat, right-handed people cut their meat, they put their knife down. They put their fork in their right hand and they eat. That's what righties do. Lefties -- which I am --cut their meat and feed themselves with their left hand. Do you know what you do?
A. I feed myself with my left hand.
Evidently, this is a really complicated issue for RH.