Yes, but those things don’t help because of all of the other variables involved. This kind of thing requires serious multivariate analysis by people with good data who know what they are doing.
There have been a string of such studies over time. Mostly the results have been mixed (i.e. there’s no clear consensus). The most recent was commissioned by PA. It uses FARS data and reports clear evidence that inspections reduce the rate of fatal accidents.
Its available here: http://www.dmv.state.pa.us/pdotforms/inspections/Inspection%20Program%20Effectiveness%20Study.pdf
Anyway, sorting this out would require tons of time & work. I know a couple of things. One is that Caddyman’s simplistic statement (and others in this thread like it) is simply incorrect. There is not some simple, clear story. The most recent serious attempt to sort it out completely contradicts that statement. Another thing I know is that the anecdotes that people tell mean exactly zero. I also know how to get a sticker the illegal way. I also have stories of stuff that made no sense. (Last year I had to take a rejection while I polished my headlight lenses - despite the fact that 1/2 the cars on the road have good inspections & foggier headlights). If our criteria for whether to have laws/programs or not is that they must always work exactly as intended then we should just dump them all.
The one thing that would tell me something is truly knowing where that stuff does stand among the things in the insurance underwriter’s basket. But all I have on that at the moment is hearsay.