The proposed layout creates a potential siphon. Fill the tub with water, put a slight blockage in the vertical drain so that the drain between there and the tub stays filled with water while draining, and after the tub drains the trap will not be full.
That is why it's not allowed, and the rule is called the trap weir rule. In the drawing below, the red line is meant to be dead level (the trap arms were not drawn with slope relative to the rulings). The red line touches the "trap weir," which is the point water first spills out of the trap as you slowly fill it. The top-most part of the opening of the vent takeoff has to be above the red line. I.e. there has to be a continuous air space between the trap and the vent, above the red line, which is what prevents siphoning.
if you want to raise the trap, you have to raise the san-tee at the vertical stack so the trap weir rule is still satisfied.
Cheers, Wayne