The issue I think is that which key does what is dependent on which keyfile the player using. The BMS documentation gives the name of the callback (ieTMS Up etc) because that can really be any button or key. So the docs don't list the actual keys to hit.
Is the BMS manual still valid for all training?
I suspect the answer is yes, but having played the sim for many years I really only focused on stuff that was new or changed, such as Maverick deployment when I began flying BMS.
I think the F4 manual is still good for things like BFM and ACM, but not for cockpit procedures like weapons deployment or HMCS where too much has been changed or added.
And there's always this forum if you have any specific questions we have folks who will know the answer or have advice.