I'm not exactly sure what you're getting on to, so sorry if I misinterpret it..
I've read a few theories, propositions that Lorule is somehow Termina and they all seem to amoeba good points. The subtle hints by Anouma, the cameo appearance of Majora's Mask, the whole factor that Lorule is an alternate version of Hyrule - as is Termina, in some aspects.
However, these can all be countered: Anouma is more so hinting at a possible remake for the ever so popular Majoras Mask, he's more so referring to hints/references to that game than actual in-game lore. The appearance of Majora's Mask is probably just a cameo one, think Dark Link and his appearances. Then the connection between Lorule and Termina in terms of alternate realities of Hyrule... No I don't think they're the same, Lorule appears to be the antithesis of Hyrule while Termina appears very much different and has its own mythology which is very much foreign to Hyrule culture. Even Lorule follows the same patten as Hyrule.. having a monarchy, kingdom, even it's own relic etc. Add this to how different the two worlds are and that's how I view it.
Also, I don't think Lorule has any legitimate connection to the Twilight Realm - the TR is more so a location isolated away from anything else, while Lorule is very much a land and a kingdom.