Interesting comment about the SEAL's. Years ago, my favorite student and wife, (the same) and I went to Gunsight and took API 250. Chris Caracci was the lead instructor for the class. When wife was in one of the fun houses, I tagged along for photos, and Chris, (a former SEAL), stopped her during the house clearing and asked why she kept changing hands. (He didn't seem to think it was a good practice.) I later say a video of him doing police tactics, no hand change.
Have the SEAL's changed thier training regimine?
Secondly, I hear the argument that one won't change hands in the middle of a gunfight. I have a theory on that. That theory states that in a DEFENSIVE gunfight, one won't because the adrenaline dump takes over and your body defaults to it's primary survival mode.
But, house clearing isn't defensive , it's OFFENSIVE. And, given that fact, when one is looking for the bad guy, he best do it correctly. If people are not using thier weakhands in the middle of a gunfight, it's because they are controlling the action without pulling the trigger, AND, the number of gunfights that occur relating to an OFFENSIVE incident are very remote, which is why you may not hear about people switching hands.
When on the street doing this stuff for real, I do switch hands.