I'd love to have a real 24-hour feed of the Earth from the ISS on my wall. But in reality, the ISS loses ground connection constantly.

Not really constantly. For 20 seconds every 30 minutes or so when it changes what satellite it’s pointed at, plus longer outages throughout the day depending on satellite usage by other systems. This may be just a minute or so every hour on a high-coverage day, or it may include 15-minute outages occasionally at low-coverage times (typically when the crew are asleep)