A sports fanatic is someone who's life is extremely invested in sports. Someone who owns all the merch of every local sports team, doesn't miss a game, ect ect. They are only a small minority of everyone who watches or enjoys sports at all. That doesn't mean that sports fanatics don't define the past time more than people like my mom who will only watch the superbowl or a similarly important game if our home team is playing in it.
The same applies to gaming, and to a greater extent I would argue as unlike sports gaming has many genres and sub genres, and often these genres appeal to different demographics, so a specific type of game may ONLY be concerned with 1% of the entire gaming community as they are the only ones with any interest.
Just because women are half of the gaming community doesn't mean they are half of the communities of games like E. And that's ok, it's just a fact of life. And I'm sure there are a few genre of games that are dominated by female gamers and that's ok too.
And therein lies the problem! Yes, the vast majority of AAA action/fps gaming fanatics is very probably still male, but that sub-culture is no longer representative of the global gaming community, it hasn't been for years. Trying to define gamers or the gaming community by over referencing and emphasising this sub-group is a bit sad, given the size of the global industry and the incredible growth of different genres/types of games. As for personal observations of my family and friends gaming habits, I guess I'm just not naive or arrogant to think that my little biased sample in any way the reflects overall gaming trends of over a billiion people accross multiple continents, especially given that the largest gaming region is Asia and the largest gaming company is Chinese. Have a look at the game viewing stats for YouTube, you may be surprised.
So I do disagree with your sports analogy - I wouldn't define the football culture in England by the small group of fanatics who often do a terrible job representing humanity, let alone football fans in general. Nor do they drive that industry, commercial sponsorships do.