Not sure I'd hunt them. I'd try to do things on the property that would encourage more turkeys to call the place home and start multiplying on the place. When you get a number of birds then be management minded and decide how many you'd like to thin out of the flock each season.
You shoot one that may push the other one off the property and make him more vulnerable to predators if there are no other males in the area. There's a good chance that if those two are traveling together and they've kept one another company and have looked out for one another by having two pair of eyes to watch for predators.
When we start seeing birds on our place and they open the Anderson county season back up, I probably wouldn't hunt them until I at least see 4 or 5 gobblers. I'd rather go chase them on the Sabine than thin out an already small number on my place.
Just wasn't sure if it was realistic to actually lure one of the birds in if they had only been seen/heard 2x in 2 years.