Well, as others have noted I think "cozy" is probably a loaded term in this context. However, I will throw these recommendations into the ring also: The first couple of Serious Sam games, and also Painkiller. Both of them are firmly in the "murdering tons of dudes" genre, and are significantly less tactical than the likes of Medal of Honor/Call of Duty/Battlefield.

That is to say, not at all.

There is none of that sucking your thumb to regenerate health, popping out from the chest-high walls inexplicably strewn everywhere taking potshots with your gun like a hillbilly jack-in-the-box. Rather, their gameplay loop involves herding and managing a massive horde of enemies, prioritizing your targets, and keeping yourself moving. Like a sheep dog with a chaingun.

People try to call the original Doom games a horde shooter. They really aren't. These two, however, definitely are.