I know this thread is long dead, but I stumbled on it when searching to see if my number of hot pixels was normal for my 5D III and I wanted to add a quick note for the next guy like me that reads this in 6 months.
Long story short, remapping with the manual option under sensor cleaning didn't make a difference. I tried it half a dozen times, leaving it "cleaning" for 30 seconds all the way up to 4 minutes. Not a single pixel was corrected.
What made a difference for me was, with the body cap on (and no lens), leave it in LiveView for 4-5 minutes and immediately go from LiveView to the manual cleaning option.
It didn't totally fix every spot, but I went from about 30+ hot pixels at 30sec, ISO 1000 to only about 10 pixels now. I'll give it a rest and try it again later and see if that clears a few more pixels. I purchased this in the US, but I now live in the UK, so returning it isn't an issue--- but at least it's down to mostly manageable levels now.