Y'shtola did a thing with it, and let it perform its function back in that same patch with her roasting Magnai. It was all tied to the aetherial workings that let the Allagans launch Azys Lla and Dalamud, yeah?

So I don't think it actually goes into the Lifestream, but we still don't know its exact depth I guess.

I am curious about what it's called in other languages.

As far as it being House of the Crooked Coin, that's basically like saying, "House of the Lover's Amulet." With Nhaama being Azim's lover in Xaelan mythos. Which is the romantic custom Clereti mentioned.