The cloth pots breath pretty well, so they will dry out faster than regular plastic or clay pots. But the air pots do dry even a little bit faster in my experience. They are a little more open to direct outside air than the fabric, so makes sense. Fabric pots still do the root pruning when they hit the air at the edges, though not as efficiently as the airpots. I have seen the occasional root start to twist back a little, and they do spread on the bottom of the fabric pots where there's not so much air a little.
Fabric pots typically (though not all models) have handles on them, so are a little easier to move around.
Also make sure and think about how you plan on watering and what you would like to happen with the run off. The fabric pots sit directly on the ground, usually in a tray to catch run off, and will absorb back up into the pot and into the soil the run off as the soil dries back out. Airpots have a small space between the soil and the ground to keep their air pruning going all the way around and underneath, so water that runs off will be stuck just evaporating.
Both are easy to clean and reuse, though I'd have to say the plastic is a little easier if you're OCD about getting them squeaky clean. Probably a limit to how many times the fabric can be cleaned out and re-used before it starts to deteriorate and the seams start to fall apart, but I haven't hit it yet.
Personally, I preferred the fabric when I was growing just a little bit over the airpots, but sure there are plenty around that would lean the other way.