wjburken
Supporting Member
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Do everyone who works on that a favor and skip the anti-seize. There are better lubricants than that for contact points.
As mentioned, a little strategically/judiciously -- not overdone -- placed caliper grease (or Sil-glyde) on the piston faces, and the backs of the pads where they may contact the bracket ears might just relieve the vibration. Don't be tempted to lube the sides of the abutment clips that contact the pad ears; the pads should slide easily enough on the stainless clips. But you can lube underneath the clips (on the caliper bracket) to keep the rust jacking at bay if you're in the rust belt.
Also, if the slide pins have (or had) rubber sleeves on one, they may have been removed and not replaced. But I don't think these particular caliper pins call for those rubber parts. YMMV