Horns and transmission lines are completely different. Horns are a way to maximize the efficiency of a driver. A transmission line is a way to dissipate the back wave of a driver with minimal reflection back to the driver and they tend to be inefficient. Traditionally transmission lines are open at the end which if tuned properly can add bass extension similarly to a bass reflex. But they can be used closed to simply absorb the back wave.
Differences Between Folded Horn Speakers and Transmission Line Speakers
I've been looking at various DIY speaker builds and came across a folder horn speaker and I've also seen transmission line speakers. I've tried to google the differences in the two, as they look similar, but I suspect that there are differences. The only visual difference that I've noticed (I've only seen one folded horn, so the comparison pool is very small) is that the folded horn seem to have a larger opening than the transmission line speakers. Maybe it's just the one speaker that I saw, so I don't know that would always be the case. I'm hoping someone on the forum is much more knowledgeable about these things than I am.