Now I understand that 1 (gauche) leads to more stabilization than 3 (anti). But 2 (gauche) leads to less stabilization than 4 (anti). I don't know which effect is strongest: the destabilization in 2 or the stabilisation in 1. So I don't know why the gauche conformation (1,2) leads to more stabilization than the anti (3,4).
Did I draw something wong? Did I make a mistake in reasoning? Did I miss something else? Is this one too many error-acknowledgement questions?