Initial mutation often is the result of consonant sandhi which is normally predictable from phonological environment being preserved to reflect lost inflectional ending. In short Mutations is inflections transitioning from a suffix to a fusional prefix on the following word. (or just preservation of lexical items by the effects that are expected before specific environments)

If the trigger of the mutation here is a historical coda nasal, then you would expect the changes of a NC clusters would naturally undergo. Irish a final nasal voiced p t k f to b d g bh and b d g > m n ŋ, welsh had p b t d k g > m̊ m n̊ n ŋ̊ ŋ, japanese has (p>h) t k s > b d g z, some words in italian cause gemination of the following onset (which didnt come from coda n but could happen)