Force-wide??? eh? what?
Haven't heard that term before i think... what do you mean by this?

the items are global for your whole team

Fun fact: Straight +Damage modifiers are also global for biters. https://i.imgur.com/BRNDd0g.jpg

if they are on your force, yes.

Uh, no. I don't have any "friendly" biters, the damage bonus is getting applied to the enemies. https://i.imgur.com/OR3AYyW.jpg

That's a game bug, it only shows it in the tooltips - the actual damage of the enemies is different.
Demonstration:
/c game.player.force.set_ammo_damage_modifier("biological",1000) game.player.surface.create_entity{name="small-spitter", position = game.player.position, force = "enemy"}
it won't onehit you but show "damage: 12+12000 acid"
i already created a bug report on the forums:
https://forums.factorio.com/viewtopic.php?f=7&t=76468

Ahhhh. Top score mate.