I have killed far more birds without decoys than with them...
Been hauling decoys with me all season, and both birds I killed were without...
I have seen birds rush a decoy spread, and I have seen them hang up...
A similar topic on this forum, and I would agree with someone else that posted, in a clearing I would use a decoy... In thick woods, that decoy can cause a bird to hang up...
I am on the fence about jake decoys... I have seen them work, and seen them put off birds.
But to answer your question, it depends on what the birds are currently doing... In the midst of establishing dominance, a bird that has been beat up some might avoid that jake decoy... A dominant tom might rush in.
Later in the season in my area, shooting Rios (which it appears you are as well), those toms and jakes start to group up again as the hens sit on the nest more... So I would not think that a jake decoy would hurt you later in the season, as much as it could earlier in the season when dominance is being established. (Someone correct me if you think I am wrong on this)...