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I agree with the interpretation of KANT you are giving. The Philosopher Immanuel Kant always claimed to have Scottish ancestors, but his great-grandfather Richard Kant immigrated from the Baltic area, most likely from a place called Kantweinen near Prökuls. This again may contain the "kant" element (edge) you mention.
Source: Rosa und Volker Kohlheim: Familiennamen, Herkunft und Bedeutung, Duden-Verlag Mannheim 2000