I consider myself a third type of fan. I'm crazy about the game - the technical aspects of the strokes, the players' training and the business angle. I don't have a preference for the male or female game, either. I look forward to any good matchup. I'm not overly interested in the celebrity and scandalous aspects of the sport, though.
At any given time, I'll pull for players who are in a slump or who have great potential. For example, if you remember Serena before her breakthrough, she was a fantastic talent who always came up short. I knew she could do it and when she figured out how good she was, she showed the world. Anna K. is a natural athlete, but, she can't seem to grasp the finer points of the game. Safin is an awesome talent and one of the most graceful "big" men I've ever seen. I keep hoping his mind catches up to the rest of him.
I don't miss player X if they're not in a tournament. I'm always looking for excellent play from whomever is on the court.