Do you have any data to support that? I personally don't have an F5 key on my keyboard (it requires pressing a modifier), so I pretty much always click the reload button to fix a stream blip. The impression I get from reading Twitch chat is that most people are using mobile. I doubt they have a keyboard plugged in and press F5 to refresh.

That said, you certainly don't need your video streaming servers to handle those hundred-thousand refresh requests.