"Fast" vs "Quickly" vs "Speedy" vs "Rapidly"

A similar question has been asked.

However, is it possible to give (general) differences in usage of fast, quickly, speedy and rapidly?

And with respect to the top answer: Are quick and fast absolutely interchangeable?

I do not think it is strictly possible to give guidelines to usage that are anything other than pedantic. I do, however, think that etymology provides some helpful clues to the more natural contexts of usage.

Quick is related to life and living things such that "quick as a rabbit" seems natural.

Fast has its relationship to strength and force that makes "fast cars" and "run a fast race" seem like a good fit.

Speed is related to success and goals giving "speed limit" and "speedy delivery" their purposeful ring.

Rapid has a hunger to it that makes it well suited to phrases like "consume at a rapid rate" or "rapidly overtaking."

Mixing these up produces some odd results: "Rapid rabbits" are comprehensible but more predatory that we are used to rabbits being. "Quickness limits" Nonsense. "Quick delivery?" Something else entirely. A baby has been born. Further evidence that "quick" wants to talk about life.

There are certainly no rules, just clues buried in the historical antecedents of the modern words. I would say try "quick" first for natural systems and living things and use "fast" as the go-to for machines, forces and acts of power. Rapid has a dark side. Speed is ambitious.