IIRC, you have to enable the "strict" mode, or something along those lines, in the settings before it rejects HTTP connections from being made. I had the same issue.
For me it's the exact opposite -- always on mobile, always when logged out (haven't extensively tested being logged in on mobile, since I'm barely logged in to Twitter on mobile.)
Doesn't seem to support importing accounts yet. Once an option like this is added, I may switch from gopass[0], which is a pain to use on my phone, that I now just SSH into my server.