The Pet Sounds liner notes are very unreliable (for example there are no mandolins on Wouldn't It Be Nice), and I'm not sure what AFM sheet you're thinking of, but Blank No. 247440 for 11 March, 1966 at Sunset Sound for the "Here Today" session does not have Carol on it at all, in fact Ray Pohlman is the leader. Just be careful when referencing documents--it's hard enough to get things straight. Another example, Carl is playing 12-string guitar on IWFTD and Ray is in fact playing some sort of bass along with Carol.
Most of the misconceptions about
Pet Sounds credits seem to originate with Carol Kaye. Check out this interview at
http://www.albumlinernotes.com/Carol_Kaye.html:
Wouldn't It Be Nice -- "I played thirds a lot in the bridge and other places, a romping good song similar to ‘Help Me Rhonda.’ I think it illustrates Brian's happiness in the studio, his freedom to create and have us play this stuff. Jerry Cole--the top line electric guitar;
Barney Kessel and Ray Pohlman on two mandolins (rhythm and fills); Bill Pitman-electric guitar (rhythm); Larry Knechtel-quarter notes (with some rhythm) on piano; Al de Lory on piano, doubling what Larry did. The two accordions, Carl Fortina and Frank Marocco (the lick in the middle)."
I'm Waiting For The Day --
Ray Pohlman, electric guitar through Leslie organ speaker. He's playing fills, then electric guitar rhythm. Al de Lory-organ fills; Larry Knechtel-organ quarter notes. Lyle Ritz is playing ukulele. We kidded him about bringing in a ‘shrunken guitar.’ The drums dictated the beat at first; notice the bass part with the 4th (sus 11th) on the bottom. Very rare! Brian really stretched his orchestrating there, but it's fine. This was a little boring to play without a lead...sort of like Beethoven, the bass wound up playing scale-like figures to a march time, ending a jazz-like chordal spread of violin and cellos."