Yes, the cabins have central heat and air. Before we bought our camper, we used to stay in the cabins on MLK weekend each year in January. You can usually count on some cold nights that time of year, and we were always toasty warm in the cabins!
Hey, that's not wimpy! It can get cold in Florida! And the problem that we Floridians have (me included) is we tend to underestimate how cold it does occasionally get in Florida and we underdress. I was honestly warmer in Ohio when I was in college because I knew how cold it was up there in the winter and dressed accordingly than when I moved back to Florida and renewed my love of 100% cotton!