Why not a snowball fight instead of a deathmatch with weapons and blood. Even children's games like Fortnite are full of violence
Well, the most successful are already mixed. In addition to CoD, GTA and Co, there are various strategy games, role-playing games that can be solved entirely without violence and of course something like FIFA or racing games.
I have no explanation for it. But obviously this is well received. And what goes down well sells well.
There are also good games where the protagonist does not use a weapon:
portal
The Solus Project
Rocket League, Sims, Nintendo games, etc.
There's bound to be a lot more without a single weapon.
Strategy games without violence?
There have been successful non-violent games.
https://www.pcgames.de/Spiele-Thema-239104/Specials/Genial-und-gewaltfrei-Zehn-brillante-Videospiele-ohne-einen-Hauch-von-Gewalt-1097669/
And: snowball fight → Nerf Arena Blast. Without snow, but also with shooting… Like a snowball fight.
Sim City 2000.
Mario, Fifa, Wii Sports, Zelda, Pong, Tetris, Candy Crush etc. Gives you enough successful games without firing and a lot of violence.
Everyone just likes Wii sports
Various tycoons.