I assume that resource is not a problem for YC. This fact, coupled with YC not having a search feature, leads me to believe that it's better for YC community that this site is indexed by more than just one search engine.
One big reason, as pointed out by Tichy, is that not all of us use Google as our primary search engine. By cutting off Yahoo, MSN, etc, but not Google, you would essentially be forcing us to use it to search the content of this site. Do that and you could be going down a slippery slope.
And I agree with the "ban all or ban none" mentality.