I'll try it for the predictive text ... but, what do you mean "you don't have to login again"? I use a public key login on ssh (so login is invisible), and you can set up your ssh command line in your config file to do so, e.g. I often use

    ssh [email protected] -t 'screen -x || screen'

And it works beautifully. (I'm heavy screen user, so even if I switch to mosh, there will be screen underneath...)