Apologies if I wasn't clear, but I am also from Europe. UK to be exact.
My Wiimote is the one that came with the launch Wii, and that itself isn't disconnecting when this happens. I'm still able to press the Home button, bring up the menu, point, etc.
But what I find odd is how the SNES Classic Controller will work for a while then just stop. Logically it should either work or not work from the get-go. I don't have a normal Classic Controller to test, though.
Isn't there an app that will find the ID of my controller? Then it could be checked if that ID is listed in the emulator's code or if it's just thinking it's a regular Classic Controller.