Assuming he didn't learn of Anghel's hypnosis-inducing abilities at the time, anyway.
In any case, I don't think the "Cage of Ice" was a literal term, but just an Anghelism for where he was kept while Shuu & the medical center examined his abilities. I'm almost 100% certain it's named in reference to Cocytus, the frozen river at the bottom layer of Hell in Dante's Divine Comedy where the souls of those who committed treason are trapped. Cocytus itself is divided into 4 layers, the innermost of which, reserved for those who betrayed their masters, is called Judecca.
Basically, I see it as Anghel's way of saying that his time in the medical center was a literal Hell for him.
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In any case, I don't think the "Cage of Ice" was a literal term, but just an Anghelism for where he was kept while Shuu & the medical center examined his abilities. I'm almost 100% certain it's named in reference to Cocytus, the frozen river at the bottom layer of Hell in Dante's Divine Comedy where the souls of those who committed treason are trapped. Cocytus itself is divided into 4 layers, the innermost of which, reserved for those who betrayed their masters, is called Judecca.
Basically, I see it as Anghel's way of saying that his time in the medical center was a literal Hell for him.