Labeled vs unlabeled hones - what to know?

[Shokunin]

Can someone please make it clear what natural stones have an equivalent 'labeled' (and typically more expensive) counterpart(s)? I'm drawing off this thread here, for example, eg, is a La Lune simply a labeled La Lorraine (and is that different than a 'Special Stone for Good Razors'?)? Is an Escher simply a labeled Thuringian of sorts? Are there other stones out there that have a labeled counterpart that can be bought unlabeled for cheaper and perform the same?

Thanks