After a while, I found the way to determine the version (year) of a given *.max file. It is doable, but not straightforward.
How to determine the version year of a .max file?
If there is anybody out there with programming skills, it should be relatively easy to develop a "Context Menu Shell Extension" (aka Local Menu Shell Extension).
Notice the one below, added by the SolidWorks installation procedure. It is an invaluable tool. You simply go:
Right Click | Properties | Details

I have developed a similar utility. The source code is available for the asking.
-Ramon
ramon@forcewise.com