"Thinking aloud" is good. But clearly, if you have a guy sitting on his backhand side, the gap is on his forehand side. And the basic law is the DTL for approach shots as you need to follow the ball to the net, so for a CC shot you have too much distance to cover to move to position on the other side of the court.. plus your CC shot takes longer to reach the opponent, he has more than to react. Also likely a guy who has a weak backhand and takes your CC approach with the backhand usually goes down the line on the passing shot anyway, so better to cover that well. (If he is a bit slow, probably more likely to go DTL on the forehand passing shot too, as quicker to run around to that? If a guy gives me )
For CC... I'd rather go for an extreme CC (corner of service box) and move to no man's land to wait for the weak reply and kill it to the other corner. I do this a lot, because my backhand is my strongest shot for the final kill (usually). I also do 1+2 with serve out wide to forehand and then backhand to the BH corner.