Amora Gem is comprised of silicone carbide, also knowns as carborundum. In that sense, it is absolutely a type of moissanite crystal, albeit the type they grow is different than what Charles and Colvard (the original manufacturers of moissanite) grew.
When Charles and Colvard started producing gemtone quality moissanite crystals in the 1990’s, they gave it the name “moissanite”, which is the 6H (I believe) crystal polytype (of which there are over 200 for silicone carbide, and like sapphires, moissanite can come in many different colors). This type of moissanite crystal has a yellowish/greenish undertone, and even in perfect crystal form will never be fully colorless.
Better Than Diamond (BTD), started growing the 4H polytype silicone carbide, which is truly colorless when it grows perfectly, but imperfect growth formation can result in near-colorless versions of the crystal. In their minds, they don’t want it called “moissanite” because it’s not the same type of silicone carbide that C&C was growing, and didn’t want the two products confused.
The best way I have been able to make sense of that is thinking of it like sapphire a bit (aka corundum), say C&C started growing blue corundum and named is sapphire, and then BTD started growing red corundum, and didn’t want theirs confused with the other product, so they called theirs ruby. They are both corundum, but different versions with different optical properties.
Now, other companies (including the ones C&C buys its rough from) are growing 4H moissanite and faceting it in to gemstones. C&C calls theirs Forever One, MoissaniteCo has their own brand, and both are making “hearts and arrows” cuts, which was originally the distinct difference BTD’s Amora Gem was able to boast – precison robotic cutting to a much higher standard (a lot of people did not like the “splintery” look of C&C’s cuts).
I have seen a Forever One H&A in person, and it was gorgeous! I own the second version of the Amora Gem (amora gem ultra), and the second to last version, the amora gem soaring hearts eternity (pair of 6.4mm each earrings), and helped my brother get a roughly 1ct Amora Gem eternity (the latest version) for his fiance’s engagement ring. The latest version of the Amora Gem is truly spectacular, and is what I am going to get for myself for my next ring, but the MoissaniteCo H&A (called their AGS 000 equivalent or something like that) is also beautiful and I’m not sure I’d be able to easily tell the difference between the two. The Forever One H&A are also gorgeous, and I don’t think you can go wrong with any of the three options.
***If any of my information is incorrect, please someone correct it! I haven’t kept up as much this last year or so, so some of this could be outdated.