I have kept my old work truck, worth maybe 2k, for hauling stuff from time to time, less than 2000 miles a year, so yeah, we've dropped that coverage on it. But for the rest of our cars no way, not even on the wife's old Corolla. A mere dent can cost you hundreds!! You may think you are a good driver, and you live in a safe neighborhood but stuff happens. Example; my neighbor backed into my parked truck years ago, she paid me for the damage, but I never bothered getting it fixed, for when I'm hauling a load of manure, I have no shame. As for you OP, I would advise you keep the coverage, even if you had other cars or could easily write off a 12k loss.
Just my 2 sense, RUNZ