In a Rust implementation of your example, you might not necessarily spawn the two sub-operations as separate tasks. Awaiting them directly in a parent async function (probably using FuturesUnordered, like Promise.all in JS) will cause all of their work to be scheduled, prioritized, cancelled, etc. together because they’ll be a part of the same task. There’s a 1-many relation from tasks to Futures in Rust.
FWIW, what I meant by "join those two tasks into a high-level join task" was "call something akin to Promise.all to compose the two futures into a single one upon which I could await". It sounds like I need to learn more about the concept Rust has for "tasks", as maybe they are providing this "pseudo-thread" abstraction I was discussing in passing. I am seeing terms like "leaf Futures" and "top-level Futures" in some of the documentation I am quickly turning up.