I will say this about Church on Tuesday. It always reminded me of a Tiny Music outtake. I remember when No. 4 came out, I had this bad habit of comparing the tracks from the album to previous STP records. ( I did this for every band I listened to at the time) For example, when I heard Down, I thought to myself, 'It sounds like it could have came from the Core sessions.' So when I heard Church on Tuesday, I immediately thought 'It sounds like a Tiny Music outtake.'
Now considering that Tiny Music is my favorite album ever, I'm still trying to figure out why I never got into Church on Tuesday.