@TEL @Woodybc62 Good for you guys. Just as there is no "better" manner of twisting a doorknob that you "must" switch to, there is no hard fast rule about how you MUST hold the handle. It's simply NOT a "majority rules" scenario. No matter what anyone here or elsewhere says, there is no such thing as the "wrong grip" - only the grip that is wrong (or RIGHT) for YOU. Hold the handle in the manner that has proven to work best for you.
Can you imagine anyone here approaching Robert Pigozzi saying, "Bobby, buddy, you GOTTA get rid of that crazy bent over turn-in for your gate, pal." Or telling Chris Parrish, "Man, that both-palms-down pullout for the gate is RUINING your setup. You gotta switch to normal." ? In the same light, I seriously doubt anyone would have the gall to tell Jeff Rogers he'd have a "much stronger offside pull" if he would just hold the handle "right".
All that said, if you're gonna hold the handle "wrong", take time to closely study the top skiers who also use a switch-grip. There are more than you might imagine - Jeff Rogers being one of the most prominent. Notice where THEY position the handle, relative to their hips, during their offside pulls. There are many very successful skiers who ski with a reverse grip - study THEM.