Yes, I was also wondering why users are so keen to get the app when we can access it via browser. But as you mentioned, it might be the case that it works on some models and not on others. I've 55UK6500 and it works without any glitch.
Regarding your question about burn in due to logo, I think that should not be an issue as other channels also have their logos on top right corners and that doesn't have any side effects afaik.
Nitin