I had the eyelet on my bow repaired today. One matter that may be of interest to other amateur cellists is that the fellow who fixed the bow suggested that the frog cover I had been using to soften the grip may have subtly accelerated the process of wearing down the eyelet threads. The friction holding the frog in place when the grip cover was on may have been causing the screw to work harder than needed when I turned it. Over the course of the year, this can add up.
The same luthier, who has been very honest with me, still thinks that the bow has some good life in it and is worth the price of a rehair. I had assumed that rehair time meant new bow. This was good news. This is a bit of a relief because it gives me more time to save up for a new bow.