Yesterday I came home to the router not broadcasting the wireless properly sometimes, and not recognizing the modem at all. Reset it, spent half an hour redoing all the settings, thought it was taken care of.
Today, in the middle of me being online, the wireless vanished. Unplugging & replugging the router fixed it apparently, but I'm not sure what's causing the issue.
If it was the hosting, I would expect the problem to be isolated to the hosting computer. The router is rather old, so perhaps it is time for a new one.
For the time being, expect occasional hosting drops. Turn on your autosaving!
I'll update this once I replace the router in a week or so.