I dry tumbled for years, but the first time I saw the results with wet tumbling, I switched and never looked back. After you've climbed the learning curve of the first few sessions, wet tumbling involves about the same amount of work as dry, with one exception: the rinse stage. Other than that, every step in the process requires about an equal amount of effort. As for drying, unless you haven't been shooting too long and have a limited supply of brass, you rarely need to begin reloading the minute you finish tumbling. The brass pretty much dries itself.
The real reason to choose wet or dry tumbling pretty much boils down to pride of craftsmanship. The one phrase you will routinely hear from dry tumbling holdouts is, "I don't care..." as in, "I don't care if my brass is shiny", or "I don't care if the insides of my cases are clean", or, "I don't care if my primer pockets are clean", or, "I don't care what anyone else thinks of my reloads."
Craftsmanship does mean something to a significant segment of the shooting world, though, and those are the folks who tend to gravitate towards wet tumbling. Who knows if the rounds shoot better, or if the guy at the next bench thinks you're reloads are factory rounds? It doesn't matter: this is our hobby, and pride in our product is it's own reward.