> As inefficient as encoding everything into the URI is, I really enjoy being able to bookmark and share specific filter configuration.

That is perfectly fine. Sites that support path- and query-based filters are already designed specifically to have filters embedded in links, which are GET requests. The QUERY method is something more in line of a GraphQL style of query that isn't held back by the semantics of a POST request. GraphQL didn't invented this API style. If GraphQL-style APIs didn't affected how WebApps implemented links, QUERY methods won't.