I've always felt that SOTT should have been titled (or at least was a homage to) OZ.The reason is because there's so many Wizard of Oz type references. Dorothy Parker (Dorothy), the affliction brought on by a witches curse(wicked witch of the west), Princes high Camille munchkin voice on songs like If I Was Your Girlfriend, You Got The Look etc. And of course the obvious "oh we oh, oh oh's" from It's Gonna Be A Beautiful Night which were what the wicked witches' henchmen sang in Wizard Of Oz.

Not to mention the cover art which has a crystal ball as a centerpiece (like the crystal ball the wicked witch used in Oz). Play in the Sunshine also talks about a big white rabbit so I guess he added a little Alice in Wonderland to the mix too. Maybe he wrote it as a soundtrack to be played along with WIZARD OF OZ just like Pink Floyd allegedly did with their Dark Side Of The Moon album back in the day?
After all Prince did like to make "answer" albums of previous rock gods(Purple Rain=Hendrix, ATWIAD=the Beatles, SOTT=Pink Floyd, etc) not to mention the Pink Floyd like sounds in the song IT. Also the line in Strange Relationship, where he says "isnt it a shame this aint a movie...". Plus the fact that his face is Wicked Witch of The West green color on the cover of the album and cd. All in all the cd, album Sign of The Times is a sexy, adult version of Wizard Of Oz, or so it seems