I don't think Claude's writing style is peculiar, it is just that we are being flooded with it. Everything becomes stale with overuse.
The stylistic elements on their own wouldn't raise an eyebrow if they appeared rarely among many other stylistic devices in order to enhance drama, suspense or emphasis, but within a single completion, Claude will sometimes implement just these two several times to express the most banal things. It ends up looking like a caricature of the worst pre-LLM Medium and LinkedIn garbage.