It's like asking someone on a date: maybe they were in a superposition before, but now they have to answer, and having answered ("been observed"), that answer is highly likely to stay constant in the short term.
(when you think about it from this point of view, it's classical physics that's counterintuitive: why should we expect that asking questions about one projection of state doesn't affect the answers we get from later asking about others, not even in the slightest?)
Does that make sense?