One question though - would the small "pauses" or stutters be caused by the amp starting to get too hot as well? I can see the complete shutdown but would it clip a bit as it gets too hot that would manifest like a short dropout?
This is exactly what I hear when the Wifi is wonky. However, diagnosis rarely happens without effort. To deduce you must remove. That is, check your wifi channel congestion and strength first. At least you can find free apps for this. Once you are comfortable with that then if it still occurs it will be worth looking at other options.
I lived in a 20 story, dense apartment in San Francisco and video streaming was nearly impossible unless you had routers with magic channels. :) Everyone else I suggested they wire their TV’s and Roku devices.