[nesarkvechnep]

Obviously, yes, but is it simpler to add a new HTTP method and add support for it everywhere?

[lightningspirit]

Because HTTP is stateless by definition, you now need to support persistence (state) on the server side whenever you want to run a slightly different query, which contradicts the preamble.

I understand the confusion around GraphQL's cached/persisted queries, but this is not the intention of HTTP.