Delay in co-op Campaign and Firefight

Does anyone else when they play Campaign with a friend or online Firefight get a delay when they hit buttons like A and RB? Like if there is a grunt and I'm going to kill him I'll hit the right trigger but it takes like half of a second to actually shoot and the same goes for all the other buttons. There's no delay in Matchmaking so why can't they fix it in Firefight and Co-op campaign?

I saw another post about this bungie said they will fix it in future updates.

There gonna fix it in the future update's.