Checking the box to keep me logged on also worked for me. Thanks for clearing this up. I also assumed it meant to keep me logged on for next visit.
On the other subject of not being able to log on from cellular service (was limited to wi-fi only) I read on internet that "Clear History and Website Data" should take care of it, but it didn't work for me the first few times I tried it.
I contacted the forum for help and they told me clearing the cache was the usual fix. Tried it again, along with checking the keep me logged on box and it allowed me to log on for the first time on new iPad. I'm posting this from cellular, so hopefully I'll be able to post from road trip next month.