[yxhuvud]

There are cards that allow for copying creatures, so that can be worked around.

A more glaring error is the usage of Time and Tide together with comes-into-play effects. At least earlier, comes into play effects did was NOT triggered by phasing.

I stopped playing a few years ago, so they might have changed that rule though.

[36erhefg]

Nice catch. They don't trigger according to the latest rules:

702.25d The phasing event doesn’t actually cause a permanent to change zones or control, even though it’s treated as though it’s not on the battlefield and not under its controller’s control while it’s phased out. Zone-change triggers don’t trigger when a permanent phases in or out. Counters remain on a permanent while it’s phased out. Effects that check a phased-in permanent’s history won’t treat the phasing event as having caused the permanent to leave or enter the battlefield or its controller’s control.

I don't think this is a problem because they don't use phasing to trigger comes-into-play effects, but only to change the color rules. This is clever because you can keep both parts of the machine, head and color, from interfering with each other.

[AlexTFish]

This isn't an error. The machine doesn't use phasing to trigger enter-the-battlefield triggers, merely to switch between the two states (sets of Rotlung Reanimators watching for the current token dying).