Okay, so when you say, "almost exclusively men"- you realize that also means "some of them weren't men", how is it this hard to grasp the difference between "some" and "none"?
Ah, you finally give the magic number of 99%! But fail to explain how any of your sources support it, or even reference what's in them beyond listing names. I'm in fact not a historian - and you have shown no indication you are either. That means, for me at least, I don't have the expertise to properly take in primary sources. Imagine a random person from the future trying to read Harry Potter and the conclusions you could draw, even knowing it's fiction or unreliable, with only uncertain and incomplete knowledge of the society that produced it.
How about you cite.... anything? C'mon, give me that magic ratio that you think is the exact historical gender balance and back it up with something.
Presumably because you love following the blue footnotes to the other sources wikipedia cites, going to your local library during lockdown, checking them out, scanning and uploading pictures of the specific pages in half an hour to argue on the internet.
You may be shocked to find that the medieval period had less than stellar record keeping, and very much likes exaggerated tales. That page cites a book by an author who, with a cursory google search, holds a PhD and specialized in the history of the crusades. If you're trying to make the point 'boy history sure is hard sometimes' I'm entirely with you, but I'd say it's on you to find your own source opposing rather than just going 'lol sounds fake'
Okay, so, the other half? I'm certainly not arguing it was common or the norm. I don't think my stance is particularly subjective - for me, the facts that:
Florine of Burgundy was a french crusader who died in combat. Seriously, why do I have to be the reference encyclopedia?
You picked the word 'tradition' very carefully there. Nobody is arguing that traditionally and primarily men filled this role, and the game also- mostly uses men for this. However, there's a great deal of examples of specific cases of women taking up arms and leading armies in this period. Joan of Arc, Matilda of Tuscany, you can find plenty of examples.