At the highest level I think so. That's what makes a competitor great, an intense will to win... and not just win, but crush the opposition. It's no so much a malevolent will to cause hurt to others, but it's a very focused motivation to win absolutely. Of course this isn't limited to chess -- you could easily find the same type of thing in any area of competition.
I think it was misguided for expert A to actually tell expert B. Instead he could have tried to do it OTB. I've definately had the same feeling though. There was a player at my club who decided he was as good as me and I didn't agree. He would make excuses if he lost and when I'd make a mistake he'd say "well players like us do that a lot." I'm an easy going guy too, but it got to me. I decided I had to beat it into him who was better. If I ended up loosing even once it would get to me a little, and when I won it had to be absolutely crushing or I wasn't satisfied. Finally after a month of scoring 85% or higher against him he stopped talking like that and I finally clamed down :) now I'm able to draw or loose a game against him without it bothering me.
Mind you I never said anything to him, although he probably picked up my intention OTB :).
Alexander Alekhine stated that he enjoyed humiliating his opponents. Is this a common attitude among chess players? I don't feel this way, but I'm a fairly mediocre player.
I used to live in a small town, and the 2 best players in our club were expert level. I'll call them Player A and Player B in order to protect the innocent.
Players A and B agreed to play a 5 game match. Player A had been reading about Alekhine, and after winning the first game of the match told Player B that he was going to humiliate him in the match.
Player B was an easy going guy, but after the unfortunate remark he played with an intensity I'd never seen before. He won 3.5 of the 4 remaining points. Is it ego that motivates most players or something else?