Hmmm. Your diagram has you going upwind on the left side of the course and going downwind on the same side of the course. If the left side was favored upwind, the left side is favored downwind, so you want to go downwind on the OPPOSITE side of the course from what you were on going upwind.

So it is not helpful to explain it according to what tack you are on. It is a matter of what side of the course you want to be on for the most favorable wind shift.

If the reason you are on the same side of the course both upwind and downwind is because there is more wind over there, then your scenario is correct. But in that kind of situation you would say that if the left side is favored upwind, the right side is favored downwind.

Sorry, but I tend to think in terms of which way the wind is shifting to decide which side is favored. If the wind is going right, you go right. If the wind is going left, you go left. And "right and left" are based upon whether you are facing upwind or downwind. The upwind's left is the downwind's right.