In the case of embeddings vs. vectors, classical vs., baroque, transpiler vs., compiler -- i think the apparent 'lumper' is just a person ignorant of classification scheme offered, or at least, ignorant of what property it purports to capture.
In each case there is a real objective distinction beneath the broader category that one offers in reply, and that settles the matter. There is no debate: a transpiler is a specific kind of compiler; an embedding vector is a specific kinds of vector; and so on.
There is nothing at stake here as far as whether the categorisation is tracking objective structure. There is only ignorance on the part of the lumper: the ignorant will, of course, always adopt more general categories ("thing" in the most zero-knowledge case).
A real splitter/lumper debate would be something like: how do we classify all possible programs which have programs as their input and output? Then a brainstorm which does not include present joint-carving terms, eg., transformers = whole class, transformer-sourcers = whole class on source code, ...