You do not need a training record as proof of experience. For every job you have to define what the requirements are. You might have a welding position where you hire 3 levels of people. 1. Experience, but no formal training, 2. Formal training and certification, and 3. No experience and no training / certification. As far as training records go, (1) would be a resume or excerpt proving experience, (2) would be the certification, and (3) means you have to provide some sort of escallation where maybe the person first serves as an apprentive, you can put him/her through a certification class.
Up above it's basically the same. The CEO has a lot to do (or so they say). But most of what a CEO does is not structured like a manufacturing line. You have a line and you can train them on the machine(s). A CEO is seldom going to have a training record applicable to his/her job as it relates to his/her daily duties. Remember, however, that CEOs are typically hired on the basis of their experience (What have you managed? For how long? What have you achieved in your management experience?) and education (business school undergrad? Harvard? MBA? MBA from where?)
While there are different types of training, it's basically either orientation, job specific / related or personal improvement.
Taken to the extreme, if you hire a consultant to help you through an ISO implementation, what are your 'hire' criteria? It probably should include Lead Auditor Training for which the consultant could give you a copy of for your records. You would also probably want a copy of a resume and/or list of companies the consultant has worked with in implementing ISO. This is just to remind that even contract help need the appropriate 'training' record. One might even want to call it a qualification record instead of a training record throughout an organization. Can't say I've ever seen it done that way, but it makes sense to me.