[Tyyps]

I think you are mixing the function itself and it's output, if for a given input to the function the output is uniformly random, then this is a way to derive randomness. The fact that the function itself is deterministic tells you nothing about the distribution of it's output.

[GTP]

You started your comment with a correct distinction, but got the wrong conclusion. Asking if somthing is random is actually a question about the process used to obtain some value and not the value itself. If I ask you if 42 is a random number, can you actually answer? I can get that number with an intrinsically random process based on some quantum effect, or I can say it from the top of my head because I just read a very famous book. You can indeed use an hash function to extract randomness, but, to be precise, we are talking about pseudo-randomness. The crucial difference here is that, if I'm measuring photons' polarization to get a random number, then an attacker repeating the same process will (very likely) obtain a different number. If I'm instead hashing some data, an attacker passing the same data through the same hash function will get the same result. Another example: if I hash the digits of pi, I will get a sequence that will pass statistical tests for randomness. But an attacker that knows how I am generating such sequence can easily reproduce it.