Oooh! On a scale of good to bad, that ^ would be "bad". :lol:
OP said there were no loads utilizing a neutral in his OP.
work space violation - maybe, maybe not, depends on how strict you read into it. If the outer enclosure is no more then 6 inches deeper then the inner enclosure, I think it is even harder to say there is a violation.
True however he called it as "277/480" - there is no 277V anywhere on a 480V delta secondary.
If one were to attempt to use the neutral from the 4 wire 208V primary as the neutral point for the 480V secondary to run 277V loads, bypassing the transformer, what bad things would happen? Inevitable transformer fire as pictured above? It is the center point on the 208V side - would the phase shifts in the transformer 'cancel out' and still leave it the center point on the 480V side, would any current imbalance on the secondary result in a shift in voltage from phase to neutral, thereby giving 0-480V?
Backing up a bit, if the primary neutral was not used, and you had a proper transformer setup with a corner grounded 480V delta secondary, what readings would you get measuring secondary phases to that primary neutral?