If Leibnizian differentials are fictions rather than objects, the contrast with Nieuwentijdt's nilsquare infinitesimals is a difference in formal role, not a difference in kind requiring two distinct sorts of entity.

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Difference in kind(as used in ontology (the study of what exists)): A fundamental, essential difference between two things that makes them completely different types (like the difference between a rock and an animal), as opposed to just a difference in degree or appearance.
Fictions (in philosophy)(as used in philosophy of mathematics): Things we treat as real for practical purposes, even though they don't actually exist as objects—like how we might use the concept of a 'center of gravity' in physics even though it's not a physical thing you can touch.
Formal role(as used in philosophy of mathematics): The function or job that something plays in a system—what it does and how it's used, rather than what it actually is in reality.
Leibnizian differentials(as used in mathematics and philosophy of mathematics): In calculus, infinitely small changes in quantities proposed by philosopher and mathematician Gottfried Leibniz; the question here is whether these are real mathematical objects or just useful fictional tools for doing calculations.

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