I'm not familiar with either word, but just looking at the characters, 達人 would seem to indicate 'accomplished' (ie an accomplished pianist). While 名人 seems more like 'renowned'. Is that a valid assessment?
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Consider the following:
And in Chinese,
I would say your assessment is a reasonable one.
Both 達人 and 名人 are usually associated with skills in Japanese.
達人 means a person who has mastered everything about something by long-time experience.
名人 usually means a person who has excellent skills. Daijisen also lists another meaning “評判の高い人” (person who is spoken well of), but I think that the usage without connotation with high skills is rare. Daijirin does not state the latter meaning.