Rest of the players on the Hendicks cuts that "Jimmy Smith" are on are Jerome Richardson, Sweets Edison, John Williams, & Smitty Smith (the Hendricks band's regular drummer of the time, saw them live, and no, the piano player wasn't named Jimmy Smith); recorded in Hollywood, August, 1981. For that time and that place, and in that company, the odds of it being THE Jimmy Smith seem pretty good.
OTOH, I've got that album, and there's no "Appears through the courtesy of..." thing. But on the OTHER other hand, Smith was w/o a deal in 1981, right? So....