My guess is the machine uses the start time as the only seed (probably time since boot) and the perpetrators have made a database containing all the possible spins.

This way, the spins are selections from a stream. If you take a number of samples you can guess the position in the stream and then calculate the most advantageous time to run another spin. The inputs are probably read on a 60hz timer anyway so you can predict which time you're going to get within a few ticks.