I think there is a danger in that approach: if you forget to await, errors are silently ignored. You can also await a Promise.all, which is reasonably good enough if you do depend on all of the results to do anything meaningful anyways.
The async article linked from this article has a toy example for this concept where the result is unused, but most of the time you would be passing the result somewhere. If you were using typescript it could fail at compile time when you try to pass a promise instead of the expected type. Even if you're not, you should notice it never work in your tests.
Still, I think it is easiest to never mess up if you await as soon as you have a promise value. In many common cases this is easy enough.
const userPromise = fetchUser(id)
const itemPromise = fetchItem(itemId)
// Do stuff, maybe even more async stuff
const item = await itemPromise
const user = await userPromise