Both.
No Reghack.
All mapping is done in the logonscript. The only time I ever heard/experienced the issues you are talking about was when mapping was in the startup script.
Now that does not make any sense. If someone tries to map a drive for a user in startup script, it's a matter of stupidity vs knowledge.
I have seen the token issue in several places. But since I hate metro and ads, I have no idea would that still pertain to win8, win8.1 or win8.10
What comes to the current persons issue, if it works except on this computer, something clearly isn't normal/right with this system and re-image probably is the best solution.
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!download
KiXnet