Close , but since the pre-logoff screenshots have no session time they can hardly be considerd as evidence.
If it's for MA internal use, they can probably get a bit of evidence themselves.
In my case, take a avatar skill database backup 24 hours ago, together with inventory (TP chip TT, and ME).
Then make a current database snapshot.
Now compare ME usage and chip decay with the database dumps, and adjust according to trade logs other reason for change of ME (trade or refine). And as some people say, there should be the oddity that even though ME have been used, there is probably no TP chip decay.
The server guys probably already know what's going on, but either they are keeping it from support staff or they've told the support staff to respond with a nonsense copy&paste answer ("The skills system is complicated blaha blaha we won't provide more info").
As someone told me (a fellow player, not anyone from MA ofc) is that the reason probably is the relog itself - if you TP somewhere and then relog that's when you lose skills. In most normal cases it's no problem since you rarely TP and then relog, but it's bount to happen a bit if you do skill teleporting (or teleport alot for some other reason).
As I posted in another thread here is the skills before and after a relog:
(Why I do screenshotting my skills? I started do that from time to time after the time when I got same professional increase twice, and the MA support didn't understand my problem with it...)