It's just an expression, not meant to be limited to men.
The most rabid baseball fan around when I was growing up was my grandmother.
LOL, I wasn't concerned with the gender use.
Yanno, it might well have been "thinking man's
game". It's been a while.
For some reason that seems more likely.
However, I was actually poking fun at what I consider the elitist attitude baseball fans sometimes get regarding the sport. The idea that baseball requires thought and strategy and other sports do not, or at least that the gap between the sports is a significant one, always amuses me.
I never took it to mean that actually.
To me it's got more to do with, for lack of better terms, "linear" and "non-linear" conceptualizing.... here we go, stream of consciousness...
In most goal-oriented sports (football, soccer, basketball, hockey, lacrosse, rugby) the play is linear movement versus the time limit. Move the ball "this" way, prevent the other team from moving it "that" way. And with one eye on the linear-time clock, it's often apparent well before the clock runs out that one team has an insurmountable lead and the conclusion becomes foregone and anticlimactic.
A line is
finite. Begins at zero and ends at 100. A clock begins at 60:00 and ends at 00:00. At any point on either line you know exactly where you are and exactly how much farther you have to go.
Baseball is totally different. No clock, anything can happen even if one team
appears to be way behind in what
appears to be the end of the game. And on the way there any number of 'roads not taken' could have turned it out completely differently. It's got many more variables, many other "what-ifs", many more ways to score and approach play on both sides than "move the ball this way". And they even run (roughly) in a circle. As pointed out earlier it's often noted that no matter how many games you witness you'll always see something you never saw before, exactly because of those limitless choices. Many many a game has concluded in a way that most of the progression of that game did not foretell at all.
Baseball is the game of "it ain't over 'til it's over". Where a football game is so reliably three hours long that the next one can be scheduled to follow it, a baseball game could run its course in an hour and a half, or they could be out there until five AM. Nobody knows where the end of the game (or the inning, or the at-bat) is until it actually
happens. Because it's not linearly constricted -- it's not
finite.
Hence, more in-finite possibilities to
think about. That's how I take it -- being more of an open field for analysis.
I think that's why baseball is so much more obsessed with stats. I think it's also why so much emphasis is put on an accomplishment such as a no-hitter, a perfect game or a long hitting streak --- the player managed to reach that point in spite of an infinite number of ways that could have, but this time did not, interrupt it.
So conceptually yes I think there's inarguably quite a gap.