Even imagining a QUERY with a large JSON filtering structure, or say an image input as request body, it feels extremely odd to include the request body as part of the cache key. It also implies an unbounded and user-controlled cache key, with the only really meaningful general caching strategy being bitwise compare of the request body (or a hash), which in a hostile scenario implies cache busting would be trivial.
This invokes multiple semantic oddities in one go with obvious difficulties for a very niche use case. If I'm writing a service that needs complex filtering or complex input like an image, any form of caching (e.g. individual data columns of a join, or embeddings keyed by perceptual hashes of a decoded image input) is going to be far away from the HTTP layer and certainly unrelated to the exact bit representation of the request on the wire.
Why even bother trying to capture this in a generic way?
I would be far more inclined to try and capture this caching semantic as a new header for POST. Something like "Vary: request-body" or similar. Perfectly backwards compatible and perfectly ignorable for all but the 0.1% of CDN use cases where the behaviour might turn out useful