I had a few dodgy Atlantic (US) styrene issues, Barbara Lewis "fool, fool, fool" which had distortion (cue burn) for the first 10 seconds and "still remember the feeling" which played with distortion all the way through. I replaced both with vinyl copies but SRTF doesn't play great, maybe a general pressing, mastering fault? Have to say that most of my Atlantic 45's are vinyl.
I've also got a mint condition vinyl Tyrone Davis "please consider me" that plays with distortion throughout.
Dave