Medium of exchange status makes this a lot harder to think about with money than it is with other goods.

However, the expanded money supply (which I realized from this conversation is a confusing term), immediately alters the holder-of-the-new-money's willingness to spend it. Essentially, it's just an expansion of their budget, since prices haven't responded yet.

Their increased willingness to part with the new money is likely accompanied by a reduced desire to acquire more, but strictly speaking these are separate things and don't have to go together. There would be nothing logically inconsistent about being more willing to spend money, while not changing what you'd do to acquire it.