Catventurer: A Men's Day sale, therefore, would not be about games with male characters specifically but those rare games with male characters that don't resort to any amount of violence.
As a member of the male sex from the same country, I'm sure you know how this would be received. We already have tons of people complaining that schools and media are in a massive conspiracy to neuter all males, by raising them to be weak and soft and docile. Games where males do things without violence could only be more "proof" of the attempts to "indoctrinate" males into denying their "true" natures.
I enjoyed Fallout 1, where you could get through many encounters via dialog instead of violence and even finish the game with dialog. Though I never tried it, I've heard you can do the whole game with a purely pacifist run. I enjoyed the dialog options in VTM Bloodlines, but sadly, they were far fewer than Fallout, and by the end there was no dialog... you had to finish the game with a combat build. I don't know anything about Disco Elysium but if it is a dialog dominant game as you say, that sounds like a refreshing change on rpgs. I've always felt sorry for the poor, neglected, misunderstood Charisma dumpstat.
I think for any group to be recognized in games it obviously needs more characters of that demo but, more importantly, a greater diversity of that demo. The problem is that games are a business, the majority of people seemingly dislike diversity, and so companies run the serious risk of games not selling when they include anything more than the rare, tiny pinch of minorities in the 99.99% majority games. ONE gay character or ONE black woman or ONE atheist in a game??? Well, that's your limit for the year game company. Anything more and gamers will start whining about pandering, and agendas and things being shoved down their throats.
I would LOVE to have games with more diversity, to show more than the default stereotypes of men and women and latins and asians and gays and whomever... but I'm not holding my breath on that happening.