I may not be entirely correct here, but I think of folded horns as horns and TL as competitors to the ported enclosure. That is, horns gain efficiency through the improved impedance match of the driver to the air via the horn.
The TL however AFAIK has similar efficiencies in the high frequencies of a sealed or ported speaker, it’s the deeper and more extended bass that make them worthwhile.
I'm sure others will correct me.