Question following my brakes inspection

Stanfillt

Took my 2009 nismo in for an inspection today on my brakes after hearing a squeal coming from my back brakes. I was assuming my brakes were worn out and needed to be replaced. Following the inspection, the shop said the rotors still looked brand new, front pads were at 6 millimeters and the rears at 4.5mm. They said the sound was because the rotors are polished and need to be resurfaced when I replace the pads. They said, "they can't recommend changnng the pads until they are at/or below 3mm and the sound wouldn't go away even if replaced the pads, so I might as well wait." My question being that if I don't have to replace anything at the moment and save the $850 they quoted me for the pads and resurfacing, will I be okay to wait? I don't want to risk damaging the rotors but the squeal is very obnoxious.