While you have a lot of hinge cuts, you also have quite a few mature hardwood trees visible in your picture, which means some open grown down below them. They would prefer this type of habitat as compared to an area that has been recently aggressively timbered or clearcut. If turkeys have the option of more open hardwoods or thick, impenetrable tangled mess, they are generally going to choose the former. If they don't have the option, well then they'll go wherever the food is.
Now the areas that they prefer for NESTING certainly WILL be thicker making it harder for predators to find and destroy their nest. But that doesnt mean they frequent those areas the other 11 months a year (as soon as their poults can fly and roost).
We have ZERO turkeys 10+ months a year. Our farm was timbered and was/is great for deer cover, but the turkeys avoid it. I run trail cams 6 months a year and got turkey pics 3 times. But so far every spring I'll get a hen passing through looking for a thick place to nest and there will be a dumb tom following her. I've hunted twice and shot 2 huge toms, but I'm not silly enough to think we hold a lot of turkeys. The trail cams pics (and lack of sightings while I'm deer hunting) tell me otherwise. They prefer the untimbered hardwoods all around our property.