How to convert this nbt situation into "if items"

So i have some lobby where ALL the players need to have a lime_wool in their hands to let the game start. This happens generally when the players choose a team before the game.
So the trigger is : "execute unless entity @a[nbt= ! {SelectedItem:{id:"minecraft:lime_wool"}}] run ... startgame"
I think testing "unless items entity... lime_wool" won't do exactly the same
How would you convert this case into the execute if items command ?
Info : i'm in 1.21.4 version