Technically, it's not the bassline. It's the guitar in Peter Gunn. The real bassline in Peter Gunn is actually kind of uninteresting in my opinion; the guitar is everything.
I listened to a few versions of Pink Cadillac. I find most to be different. The Aretha Franklin version has similar sections but is overall different. The Natalie Cole version isn't even close. However, I think the Bruce Springsteen version is extremely similar. As you probably know, Bruce Springsteen wrote Pink Cadillac.
Call up Henry Mancini. I think we have a lawsuit.