The Carpenters give the clarinet player some on this "rocker". Can't see any way that this one isn't live. The singing is incredibly fast and complicated, almost like a scat (and it's almost imposssible to mime to a "voice-over"). It stops, starts, speeds up and slows down all over the place. Maybe that Bacharach medley isn't live (I still think it is) but I think this disproves the idea that the drums don't have enough mics on them to sound that good. One 414 over the kit + a kick drum mic and whatever's bleeding thru the vocal mic seems to be doing the trick.
The Carpenters-I Fell In Love With You.mov