Sure, but the issue is that in order to utilize left to right weight transfer, you need to hit the ball when it's almost completely to your left side, kind of like how with a proper FH loop the ball is hit when it's almost completely to your right side. Doing that on the FH side is a lot easier because your arm is on the same side, but doing the same on the BH side means you have to reach your arm across your body, which severely limits your arm's reach on the left side as compared to the right side. This is why the standard BH stroke is hitting the ball more in front of the body compared to the FH side. This way we can cut off the angles by hitting the ball earlier in order to cover the wide left, but this also means that it won't allow for the proper utilization of left to right weight transfer for most BH shots.You are right, not significantly. But the center of gravity still does shift. Try hitting a proper backhand away from the table without using your left foot pressing on the ground. You will lack strength.