Wes was more a victim of Roddenberry's horrible vision of the future than anything else. The problem with all of them was that they were supposed to be flawless paragons of humanity, which had the effect of making them completely inhuman. If Wesley had ever acted like an obnoxious teenager it might have been better, but in GR's world where nobody is allowed to have faults and tension isn't allowed he was just whiny and boring. Calling Beverly a cow just once probably would have made him a perfectly decent character.
Anyhoo, my point here was that the reason the second season was better wasn't because they started trying, but because they had properly formed their characters. You spend the first season putting together who you're playing, take a nice long vacation, and then when you get back it's to an already established persona of your own making.