Efficiency isn't the only or even the most critical criteria to evaluate a process. Less exposure to toxic lead contamination should be more important. This is something someone who handloads tens of thousands of rounds should be especially concerned about. I cannot argue this benefit can be realized with particular respect to cleaning primer pockets, but I believe it is with wet tumbling.
I doubt there is much evidence that cleaning cases at all will improve efficiency or economy in reloading. Some people just wipe them off and reload. If the case doesn't need to be cleaned, the primer pocket doesn't need to be either. But this procedure would result in lead contamination all over the reloading equipment and finished cartridges.
Dry tumbling will increase lead dust residue around the tumbler area and contaminate the media. Cleaning primer pockets with a steel tool will also generate lead-contaminated dust.
Wet tumbling, on the other hand, keeps the lead contamination suspended in water that can be disposed of without exposing the worker. One could conceivably wet tumble without decapping first and some people report doing just that. It seems to me it would create an inconvenience in drying the primer pockets.
I will also add that while I do wet tumble, I am not satisfied with the quality of the brass until I also dry tumble afterward. But I would never skip wet tumbling and just work in lead dust filth. Because wet tumbling also cleans the primer pockets for me, I don't need any other justification for it.
Anyone who loads more than 50K rounds per year and hires employees to do it will tell you that being careless about lead safety will get you burned. Doing all the work yourself isn't a good reason to be more careless. Your own safety is not worth less than others.
For those that dry tumble their brass, not cleaning primer pockets is another lead-exposure reduction technique.
Tip: don’t tumble brass in your domicile. And definitely don’t separate media indoors.
Observation: if you’re decapping before wet tumbling, you’re definetitely handling brass that is at its lead-iest. Dry tumblers can literally dump their bag of range brass into the tumbler. I wonder to what degree this offsets any lead exposure reduction from wet tumbling... not to mention questions about where all this lead-laden effluent goes.