In my area, where relative humidity is often 60-90%, this form of drying would result in moldy cloth, not dry diapers. My guess is Tampa's microclimate is probably similar and line drying isn't an option.
How do you think people washed and dried clothes there 100 years ago? How do you think they do it in more humid and poorer places today? Do you leave your towel on the towel rack and let it dry there or do you throw it in the dryer every time?
Mold thrives in moist, dark places, not most sunny ones.
We used cloth diapers in a place that's hot and humid but seasonally cold (the US Deep South). Outside on the line, diapers dried a lot faster in the summer than the winter. We ended up having to buy a used dryer for winter use, because they simply didn't dry fast enough to be ready by the time we needed them.