After a re-read I noticed that I think he is talking about switching up your over-under grip so that you are training the left and right side equally.

I generally train left hand over and right hand under when I use the over-under grip and I have for a long time. I think it would be a good idea to switch sides every once in a while just to keep things equal but I find I have a hard time lifting heavy while doing that because it does not feel comfortable to me.

So, you ask.... Should I switch up my "reverse grip"?

Assuming this means change which hand is over and which is under I say: Yes. Switch it up if you can. It can't hurt and it will help to keep things balanced.

IW