Two observations,
There is utility and need for some convention of feature description, for the case of the external behavior of the system being correct, for some domain, despite lack of specific training. It is reasonable for users of such systems to say that the internal states and representation don't matter, so long as the behavior is correct; and in cases like these we will benefit from some consensus on how to talk about such things. Fine with me if some new term is applied.
More of interest to me though is that it is not at all clear to me that genuine emergence is not possible through scaling (independent of whether it is in any given existing LLM). Because the optimal (most compact) correct representation for a lot of e.g. language output, is exactly that which benefits from abstraction.
What reason is there to believe that the abstractions derived at higher levels (of the network generally but not necessarily, depends on the architecture) do not encode non-linear problem spaces in the world, which are "real" emergence?
I.e. if the way some network learns arithmetic is to settle on an internal weighting that performs computation, rather than "memorizing assertions", me, I would call that "emergent."
But I'm happy to use some other term should one, er, emerge.