Yes, the valve stem is also prone to corrosion. Should have mentioned that myself, since my last way-too-old tire had to be dismounted a second time to fix the stem leak.
N.B. If you have or intend to have a separate set of winter tires/rims, check the age of the tires once in a while(there's a code on them). When I finally got rid of the Integra(in Summer), its winter rims were shod with 12 year old rubber. That's a very bad thing, and was caused by only running them for about 2k miles a year(winters... doh!)
They were basically worn out two years before I retired(no pun intended!) them. I would not have reinstalled them for another winter, which was a small factor in selling it.