Those first 3 are pretty much equal IMO and the new one and the s/t are like a tier below.
Mooney has grown on me over time but yeah, he can be pretty grating. He's especially horrible on reunion album "Rite Time" (which is pretty gross in general- definitely Can's worst album). I think he works pretty well on "Monster Movie" (especially "Yoo Doo Right"- commonly regarded as his best moment for a reason) and a few of the cuts on "The Lost Tapes" like "Deadly Doris" and "Waiting For The Streetcar". But yeah, I couldn't stand him at first and still vastly prefer Damo.