As far as I can remember it is a seperate connector. You might be able to cut off the offending hog ring(s) and maybe use a plastic zip tie instead. I replaced the pad on mine but I would definitely check the hog rings first if I was to do it again.

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1988 325is (purchased new) sold
2004 X5 3.0 2005 X3 2.5
2008 X5 3.0 (new to me)