Not really. There were other factors to the fight, whereas the final one was one-on-one, no additional factors, with Steve winning while holding back
Cap and Bucky are well coordinated, but certainly not equal in skill. Again, the fight makes it clear that Steve's gotta keep Tony away from Bucky. Bucky only manages to be as successful as he was because Steve picked up the slack
I'm not reducing the fight to that. I'm telling you how it is. Bucky was being chased like prey in that fight. Steve had to play saviour. Besides, its not like Bucky, one-on-one with Iron Man, was such a menace that an A.I. had to butt in to help
I'd recommend not doing the "feel free to quit" thing. Comes off as really cocky