Yea, I really don't like being reminded that I suck... and I admit it. And while I do appreciate the pushing at times, what I appreciate more is that cycling is something we do together all of the time, and that is very unlike what I see in other couples, where the guy (usually) is the one out riding and the woman is home. Although, last year when I was running, DH tried to do my little 3 mile run with me. Of course, he went out at a fast speed, fell behind, and then couldn't walk for 2 weeks . Seriously, I do better with a stranger coaching me. Not because my DH is mean, quite the contrary, but because I know he is stronger, more coordinated, and generally he excels at everything he does.
I did give it back to him when we were trying to learn Spanish last year, though; definitely found his weak spot!