This is a very common question, not only at FW but almost any campground.
There is no simple answer to this question, every dog is different and you have to make your choice based on the temperament of your dog. As yous regularly camp with you I would expectthem to camp well at FW. Remember, you dog is a member of the family and should be treated as such. Do not place them in a dangerous situation.
A dog that is comfortable being left alone should be OK. On a couple of camping trips "test" the dog. Put them in the camper and go out and get in the car, slam the doors for the correct number of people and drive away. One person stays behind and keeps quite listening to see what the dog does. Some dogs will go to sleep, some will whine/bark for a coupe of minutes then quiet down while others continue to bark.
If you do plan to leave them alone, please keep in mind they can't care for themselves. Make sure the temperature will be in a safe and reasonable range. While you may have A/C or a heater, what will happen in a power failure? Remember food and water!
This is also not something you should spring on your dog out of the blue. If your dog has only experienced being with it's "pack", being abandoned in the camper may be difficult for them to deal with. Over several trips you may want to slowly build up the time you leave them alone.
Some things that may help:
A bed the dog is comfortable sleeping in; even better is a crate if your dog is comfortable in one.
Close all curtains to keep it dark
Run your A/C to keep it cool (plus it adds background noise)
Leave a radio on softly to block outside noise.
Again, the choice will ultimately be yours. You must feel comfortable with leaving your dog alone.
I highly recomend checking back during the day to see that they are OK. I usually make this a a little rest stop for me as well.