I had several eyelets on a Rhyno Lite rim crack and fall apart on my folding bike which I reserve for winter riding. I attributed the failures to salt and some sort of electrolytic interaction between the eyelet and the aluminum rim. Bottom line: I replaced the rim with one without eyelets and have seen no problems.
I have a rim with eyelets (Mavic) on my road bike and have seen no problems with them, but this bike is not ridden in the winter.
Steve