Not a bad idea, but who is going to decide what is relevant or not? Do you want biographical anecdotes of Morphy only when he was destroying the world's best, or does his mental instability towards the end of his life merit publication? How about Alehine and the Nazis? Pillsbury's alcoholism?
Myself, I believe that it's all relevant, but there are many people who are offended by the "dark side" of, say, Fischer or Alekhine (one of Alekhine bitterest critics post-WWII was Dr.Reuban Fine). It's a sad fact that many great players came to a tragic ending (Steinitz died in an insane asylum, Schlechter starved to death, etc.) and I'm wondering how far into players lives you would think of going.
If you are just trying to expand the the parameters for chess.com to enjoin the "unsuspecting public" through search engines, then you will have to keep toward the vanilla side, in order to offend as few people as possible. But the disservice here is done to the chess player, who should know that, say, Curt von Bardeleben not only lost a brilliancy to Steinitz at Hastings, 1895, but later committed suicide (in the 1920's, I believe). A person's life is his life, and very few are lilly white.
Perhaps my greatest pleasure in the game of chess is reading about the personalities over time which have made the game great.
I think a great addition to the site would be an encyclopedia type area which would cover the lives of grand masters past and present. Laying out there styles, important games they played, their personal lifes..ect.
Yes we have this online already for the likes of Capablanca, Morphy, Kasparov, Tal, ect...But what of the lesser known? Someone like Korchnoi for instance.
The way I would be similar to chessgames.com with a photo and their life statistics, but much more in the way of biographical information that could be added to by the community (like wikipedia).
Overall this would increase chess.com relevency in the search engines for most any search conserning chess.