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Syntactically, I don't feel like there is something particularly interesting going on in a noun phrase forming a sentence. Maybe it's more frequent in Japanese than in English, but that's it. I feel ...
I don't know for certain, but I think that this is actually not using the 〜ず (negative) verb form at all, but actually comes from the verb 駆けづる (aka 駆けずる) (dictionary link) which is a rarely-used word ...