As I don't know the EP5 details at all, I don't know how the clock was being wrong would affect the case solving at all.
But my notion is that the clock we see was a metaphysical clock and controlled by the GM. In EP5, it was Lambda. On the gameboard, the people had little reason to rig the real clock, but in the meta world, Lamda controled the time reference for Battler (and the readers) as well.
The clock we see was the intended trick by Lambda to Battler, not by culprit to the pieces.
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