I quite disagree. I always bring my simplylight designs hammock with me, as well as my tent. It's four pounds total with the tarp more. From Florida to east Texas you will find it easier to find two trees than you will a spot for the tent - if you are stealth camping. It's pine country. Campgrounds on the other hand, I found a few official campsites in Florida did not allow hammocks and one place once in Alabama, but otherwise it hasn't been a problem.
Aside from the obvious, the comfort and the lack of need to scope around for flat, pine-come and debris free spaces, the hammock has a few serious advantages. First of all it gets extremely hot and humid all the way from Florida to Texas, and humid too. Hammocks, wick heat away from the body and are so much cooler to sleep in. In fact if the temps hit about 68-70 degrees at night, you get cold without bottom insulating. hammocks are also very comfortable as seats.
Now as you get into hill country in Texas and further, it will be mostly dead weight in your bag. You can get creative and use a hammock on the ground without any trees, but I don't find it worth the bother. I'd carry it however one a West to East trip, and East to West would take it and then ship it home from somewhere in Texas if you are weight conscious. Me, I'm not ultra light. I'm more towards the "ultra comfortable".