One-of-a-Kind
As brought up during the 2024 Othercon panel, this label may not be applicable to those who don't expect to have a specific name for their 'type. Dragons are often unique enough to all be considered anymic by default.
Labels by Relation
Anymic as a label describes relation to other labels. Its usage depends on what other language is available. When is a 'type considered named? Who decides what the boundaries of an incorporeal species are? What if your 'type expects to be labeled by others, but doesn't name themselves, or vice versa?
Refusal to be Named
How does this label apply or not apply to those who refuse names? Does anymic accurately describe personifications of confusion, spirits that change form when perceived, and other beings that don't have an easily-defined identity? What if they are identifiable as being the same species as others who lack consistent identity for the same reasons?