When I got where I am now they were doing drywall inspections. It took a little time but I finally got them eliminated except for rated assemblies and wall bracing. It falls to me as the plans examiner to recognize those instances and include the required inspection, but it only takes me 30 seconds, and it can save a lot on the other end, for everybody. (Haven't had a single gyp wall bracing, though I did see a few in my last job). I would like us to spend more time on life-safety provisions. Drywall is a good example, an inspector who doesn't need to go look at 5 other non-rated drywall inspections to count screws can spend a lot more time inspecting a rated assembly, it's penetrations, joints etc. Many, many things in the code can't be observed by inspectors (if not then the 5% would be much higher) and must rely on the integrity of the installers and designers, I think drywall can be one of them. If a community starts having an epidemic of drywall falling down then it could be implemented.
Drywall inspections are often an example of an AHJ using them to keep inspectors busy in slow times, which can be a valid but tricky concern, worthy of it's own discussion. Drop an un-needed dw inspection, spend time on the needed inspections, everybody wins. (as long as the politicos and bean counters can be made to see the value in quality of inspections vs. quantity of inspections).