There are a few things that factor into this:
1.) The X1 userbase has a higher proportion of shooter fans since it is more of a dudebro console and heavily advertised as such. The PS4 userbase is not as shooter centric.
You can't just look at the Top 10 games. If you expand that list, the Xbox brand is clearly more dudebro, especially when you take sales of non-shooters like Tales of Vesperia and The Lost Odyssey into account. The 360 userbase just did not care about JRPGs or any other genre that is not action, shooter, or sports oriented. Meanwhile, IPs like LittleBigPlanet, Ratchet & Clank, Gran Turismo, and Journey sold really well on the PS3. This leads to another problem to your argument in that dudebro is an umbrella term for shooters, action, and sports. You've limited your analysis to just shooters which are only part of the dudebro definition.
You have also missed the second part of my point: the X1 being advertised as a dudebro console. The X1 is getting a Sunset Overdrive and COD:AW bundle later this season. It is also being heavily advertised as the "official console of the NFL" during football games. I just don't see as much diversity on the X1 as I see from the PS4. Meanwhile, the PS4 will be getting LittleBigPlanet 3 and Guilty Gear Xrd -SIGN- later this year.
The last point I should make is that there can be more dudebro gamers on the PS4 while a higher proportion of the X1 userbase be dudebro. After all, the PS4 is outselling the X1 by a huge margin. For instance, the PS4 is selling roughly twice as much, so 50% of the PS4 userbase equals 100% of the X1 userbase. Even if the PS4 userbase may have more dudebro gamers, its library will also be covering other genres such as platformers, western and Japanese RPGs, fighters, open-world, and sandbox because PS4 gamers are also interested on those kinds of games.