It actually turned out much worse than I initially thought. The cork had come all the way out of one of my last bottles of 6-year-old Norton, stored in the back. Dammit. But that wasn't the worst part. The spilled wine caused a mold infestation, so I have been washing bottles.
I lost 5 bottles. I need to relabel a few. Some cork tops have mold on them, and I am washing them with a brush. It does not remove the stain, but helps. I am afraid to recork those because of the risk the mold could get in and contaminate the wine. So I guess I will just let them be until consumed.
All these bottles are then being moved to the cellar under the house. A lot of work, when I should be cleaning house for company next week!
After my company leaves, I will try to get the Vinotemp moved out and see if it is repairable. If I fix it, it'll be awhile until I trust it at full capacity again.