Documenting and storing documents on training?
For job-related purposes: YES. Most of my professional job related training pertains to commercial driving, endorsements on commercial vehicles (airbrakes, doubles/triples, metal coil, Hazmat, etc...) I keep meticulous records on all of that, starting from when I had officially enrolled in truck-driver training. That is considered a supplement to my resume and something that I also provide as the "cherry on the cake" so to speak during recruitment to further present myself.
In shooting/defense wise, I have literally taught myself from the get-go. From when my Grand-Uncle had first taught me how to use a high-powered rifle and a bow, I have learned these skills in gradual increments. The "training programs" I have been in are exclusively demonstrations at martial arts symposiums and gun shows. I have also taught groups and classes on how to use a handgun, rifle, bow, and knives for different defensive situations. But these are not officially sanctioned programs and are more of displays and presentations during martial arts events.
If I ever have to apply for a job that involves armed security work or related, and I highly doubt it since I am a road hog, I am pretty sure I will just ask for the qualification test and show them how I can handle a weapon and shoot it accurately. No doubts at all that I can do that probably just as good or even better than guys who went through tactical this or that, not to be boastful or anything, I just spend a hell of a lot of time shooting and reloading, but ain't got no "official" paperwork.