I've had my Wii hooked up to a 40 inch 1080p screen, and my more current 42 inch 1080p screen (With S-video, which I got because my newer living room TV didn't have the same number of inputs), and have not experienced any issues with quality. In fact a lot of the games look beautiful; I have played a lot of Rune Factory Frontier on it. Between me and my wife we have about 170 hours in (great game =P).
I describe myself as a little dose of toxic masculinity.