I did so and there is (no normal) noise over the complete frequency range. I have 4 Fosis and they all do this. The 3E is quiet.Right - but now. you are connecting an antenna to an open RCA input which has high input impedance. It is not representative of real world listening, and has no bearing on what the noise of the input is like.
Short the other end of the RCA cable - and the noise will go away - that is what a low impedance output of a source looks like.