The frigid cavern felt strangely warm, Bahamut explained however that it was not to be taken as being detached from humanity, but a point of pride he isn't considered to have committed any acts of betrayal.
"To those free untainted by the sin of betrayal, this cavern is as warm as spring after a brutal winter. It is also a place where Samuel cannot tread, which is why it was safe to bring you here."
"Is it possible for me to grab some of the traitor's ice while we're here? Seems a shame to let the chance slip by and Lillim owed me some as favour anyway."
"Unfortunately she will have to fetch it for you still, only one of the crowns can remove ice, a safety measure Samael put in place."
"Makes sense."
"Besides we shouldn't dally here regardless, between the two of us, we could handle any of the crowns, but we wouldn't come out unscathed."
