We chose to stay connected due to family health issues at home (but I turned off my work email!). As noted above, yes, i-phones will connect but WARNING: If you do not log out (go to logout.com if you can't find the button) but just turn off your Wifi, you're still connected. DH did this (twice!!!) before going to bed which burned through our minutes. I have (mostly) forgiven him now.
Having said that, it really wasn't that slow - we were mostly just checking email, making sure family members were doing OK. I did upload a few photos, and that was slow, so I just didn't do a lot.
(We were on the Fantasy, if that matters.)