This album is no ugly duckling for me. I do like Angelica (that velvet caress thing...). This is one of my favorite Church albums as it stands, almost a perfect album, with a flaw (see below).

I'd have to agree that Authority would have made a fine single... but SK and MWP wanted Authority (and Business Woman) to be Somewhere Else than SA, with Cut In Two and The Time Being in SA.
Even Business Woman could have been a pop-rock single, it's catchy, even if the lyrics aren't up to par, and SK and MWP don't like the song. I remember reading in an interview that they wrote it to show Arista that they could write simple pop songs if he wanted to, with the rest of SA/SE showing that that wasn't what they wanted to do, that last one goes further to say that Business Woman shouldn't even had been released in SA!.
It almost makes no sense that Arista forced the songs to be in the album and did nothing about using them as singles, especially Authority. My personal theory is that the powers that be at Arista thought that having some less adventurous songs would make the album more palatable to the masses. They do intrude with the feel and flow of the album though. In SK's words:
"I'll tell you what it's like... it's like singing Othello, and in the last eighth of the play a fucking jester comes on, juggles balls and tells gags. And then he goes off and it's back to the play," sneers Steve, letting his anger cool before he reasons, "But maybe every perfect thing should have a flaw in it. That's the serious flaw."

And here is where I must confess that back then I would welcome that intrusion as a respite from the denser feel of the rest of the songs (I liked pop rock more back then). Now I think that the originally intended flow and feel of the album would be great, but I'm so used to the album flowing like that that I haven't really tried to listen to the songs in the intended order, even if I think it would be more cohesive. Actually, right before posting this, I decided to listen to Two Places followed by Cut in Two, Time Being, and then Fly Home and Dead Man's Dream, and I like the flow of the songs a lot, maybe it's time I revisit the idea of making a home made CD of SA with the intended track order.

Speaking of song order: I think I've mentioned this before elsewhere, if you program Loveblind between Fly Home and Dead Man's Dream fits nicely too, especially with the end of Fly Home sounding like a reused part of Loveblind, I used to program this album to have Loveblind repeating there, as it used to be my favorite in the album. It does interfere with the flow of the album a little (a little bit of remixing may make it a perfect flow though), but not as much as Business Woman.

With SA/SE being re-released there would be an excellent chance to make the intended order of SA the official one, I wonder if it will be done.