Different tests are a good idea, but the devil is in designing them.
They'd have to both tell us something useful about the possibly-intelligent agent in question and not disallow anyone who we would consider an intelligent agent (more specifically, there's a whole suite of tests we could hypothetically use that would need to be discarded because they'd rule out entire sets of humanity as non-intelligence. Oops :-p)
They'd have to both tell us something useful about the possibly-intelligent agent in question and not disallow anyone who we would consider an intelligent agent (more specifically, there's a whole suite of tests we could hypothetically use that would need to be discarded because they'd rule out entire sets of humanity as non-intelligence. Oops :-p)