I recently posted something about this but the self appointed experts didn't like my wording so I am trying again to please them..
I recently bought a new Kindle Paperwhite e-reader for my current travels. I bought the Kindle in the U.S. and I'm now in London. The Kindle wouldn't connect to my Kindle library over the hotel's wifi. (I had the same issue at my hotel in the U.S.) My other devices--phone, tablet--worked fine. I could connect via my smartphone hotspot but it was slow. I tried one of the hotel receptionist's phones as a hotspot but it wouldn't connect. (That was strange.)
So I got in touch with Kindle customer service. Fortunately for me, the woman helping me had recently been in London and had the same problem with her Kindle. She said many hotel WiFi systems are not compatible with the Kindle. (I won't go into the reason because that is what didn't please the self appointed "experts".)
I took a walk over to a local coffee shop and connected to their wifi. Everything worked fine. (In the U.S., when I couldn't connect to the hotel wifi I also went to a local coffee shop and it worked.) I originally thought I couldn't connect to the hotel's wifi because the Kindle browser couldn't handle the log in page. I was wrong.
The moral of the story is if any of you experience Kindle e-reader problems while traveling, it may not be the Kindle causing the problem but the device's compatibility with the hotel wifi system.