I relayed your question to my turkey-hunting Tennessee cousin, and got this reply:
"I think turkeys have been fooled with just about every set-up you can think of, but the lone jake is a good one. First of all, you can travel light with a lone jake. Many times a gobbler will hang up when responding to your call with a hen/jake set-up, however, the lone jake and your calling may tempt the tom to come in quickly looking for the hen. If not, then maybe a few soft calls can bring him within range."