Strangely enough, he could be made to last a particularly long time there.
You see, everyone and everything has their purpose in life. Gamespot's and their managers' purpose is to make gobs of money.
Yahtzee's purpose is to be as big a dick as possible.
You'd be surprised how well they'd work together. They could use him. All they need to do is hand him exclusively BAD games. Games that probably weren't going to sell well in the first place, and (as a sideline in blackmail) didn't spend enough in advertising on their site. Take a look at some book reviews, if you don't believe me. http://www.nplusonemag.com/situation_1.html
The wholly negative ones tend to stand out as being "honest" or "having a high standard". Every so often, they'll throw out a negative game review as well in the hopes of maintaining their credibility, or something to point to when things like this hit the fan.
So, as I said, he could be an invaluable asset to them, if they were capable of controlling his rants to games that they particularly select. They wouldn't want him to give a good review, or a bad review of a good game, or a game that paid well. As even Yahtzee said, "nobody likes it when I'm being nice to a game." Keep him reviewing exclusively bad games and he'd be funny as hell, making the site more popular and giving them their precious integrity.