Selected Operator Not Showing in Lobby?

I have the season 1 battle pass for Black Ops: Cold War, but it seems that I can't use any of the skins from the Warsaw Pact. For example, I have Stitch unlocked but when I select him as my operator, it will show that I'm still using whatever operator I had before him. I've noticed that this only occurs when trying to select an operator from the Warsaw Pact, so I'm wondering if this is just a glitch or if it has something to do with playing the campaign.