From Section 3.1.2.3 of the game manual:
Quote:
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A Gray TOTE is scored if it is fully supported by a SCORING PLATFORM and no portion of the TOTE extends above the top of the BACKSTOP.
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This doesn't say anything about its orientation, so I would think that it will be scored regardless of how it's rotated.
However, it would be considerably harder to stack with totes turned sideways, and we haven't tested the stability of a stack of upside-down totes.