In my experience, some gobblers are scared to death of jakes. I'm in MS too and about 8 yrs ago I was hunting a field bird pretty hard for about 2 weeks. I had the bright idea of using a jake decoy and a few hens. When he came out in the field, he broke strut and wouldn't come within 200 yrs of that decoy and stopped gobbling. I killed him toward the end of the season after the hens started setting and he looked like he had got run over by a lawnmower.
Lots of times they just stop gobbling and sneak in for a look. In MS we can hunt afternoons. This is a flat out deadly time to hunt here....just don't expect a lot of gobbling.