Are you talking about tranny fluid or engine oil.
The quick lube places love to sell things that power engine flushes, etc. In a typical oil change a small amount of oil stays in the engine, but not enough to worry about. If that is what you are talking about, save your money and change your oil a little more frequently.
If you are talking 'bout tranny, there is an advantage as a significant amount of fluid remains if you just do the standard drain from the pan.
When you drain the pan through the drain plug you will only drain about a third or less of the total. Most of the fluid is inside the torque converter, transmission cooler and the cooler lines.
Some vehicles have a drain plug on the torque converter so it can be drained, but not many of them, so a special flush is the way to get all the fluid out of the transmission so you can replace it with new fluid.
Does it really help keep the tranny going longer? I don't really know, but considering you only do it at the standard interval, which in my rig is 30K, I don't mind spending the $60 for the complete change. I would recommend you have it done by a real mechanic, not a quick change artist.