Another little balancing factor is that the scarabs (or any creatures) have to be in adjacent slots for the Minotaur to actually eat them. It would require some seriously tricky manoeuvring to be able to eat one each turn.
4 -> 1 -> 4 -> 1
Repeat.
The wandering mechanic is interesting as is its interaction with the feeding mechanic. However I do not see sufficient connection between the mechanic and either the name or the element chosen.
The maneuverability fits Air much more than Time and their are plenty of carnivorous Air creatures.
A Minotaur could not possibly fit in Air. I chose Time due to it being a mythological creature from ancient Greek.
In Greek mythology, the Minotaur roams a Labyrinth, devouring any who cross it. This is the same idea; the Minotaur moves between slots (explores the Labyrinth) and devours any creatures that it meets.
Incidentally, the devouring mechanic is present in Time (see Scarab and Pharaoh).
I was not suggesting a Minotaur could fit in Air. I was suggesting the new part of the ability (the maneuverability) fits Air and does not seem to fit Time. Why would
move through space rather than through time?.
The ability also doesn't fit Minotaur very well either. It was Trapped in a Labyrinth. Classical Minotaurs have no special ability to travel through mazes. The maze was exploiting their weakness.
Also the mechanic discourages wandering. It recommends jumping back and forth between 2 slots.
Minotaurs and Scarabs do feed. However you will note that it is not
but rather
that is providing the feeding. (Activation cost fits the theme of activated ability, casting cost fits the rest of the theme.)
In conclusion: Neither the Name nor the Element fits the Mechanic IMO. Though you are right that the Name fits the Element.