I use both but my rotary is the first I normally grab (I use a HF dual drum rotary with custom drums). For me and my media, my rotary is quieter and works slightly faster than my wobbler (Lyman 1200). I don't often tumble to a glossy shine and I have a mix of corn cob blast media, 14-20, and hard resin pyramids, which cleans fast but leaves a good finish. Last time I used my wobbler was with some 45 ACP brass which I wanted shiny (easy to find in the dirt, pebbles, etc. at the "range"). I used straight corn cob blast media with a dollop of auto wax and ran the wobbler a bit longer for a shine...
I must be extra lucky because the first HF rotary I bought lasted 14 years until I "improved" it (have no idea how many hours worked). Got a dual drum unit and still use it, 10 years later. I made larger "drums" and have no problem with quantity of cases tumbled. Just like any tool if it is kept clean and oiled it will last a very long time (haven't even had to replace a belt)...