If you dress for it, it's not that bad, unless there's snow on the ground.
I've done a fair bit more of a distance than 10 miles in colder weather. not such a big a deal as he makes it out to be.
Frostbite is for exposed skin, or not properly covered skin.
( mind you I did get a little bit of a headache after a rather long and chilly ride. 21 miles @ - 16)