Re: Using office 2013 in wine, should I even try?
To answer your original question in the title -- NO. Office 2013 does not work in Wine -- yet. It took CodeWeavers about three years to get Office 2010 working; so in about that time, they might have Office 2013 working.
From what I've read, to use the browser version of Office 2013, you have to use the MS SkyDrive -- which means saving your work to the MS "cloud".
Ubuntu 15.04 Mate, Mint 17.1; MS Win 8.1, Win10 TP.
Will not respond to PM requests for support -- use the forums.