I guess it depends what you are comparing to. I was comparing to other times when school is out i.e. summer, christmas, thanksgiving, easter... (although i've never actually been during thanksgiving week).
If you are comparing to "off times" (when kids are in school) like end of january beginning of may, september, early october, then it would be busier than those.
Since the OP was considering it a holiday time that was my frame of reference as to the crowds not being too bad. (I've been at xmas time when the fire marshalls would not let anyone else into the park. uggh!)
And it's only HALF the state of Louisiana! haha