Not knowing anything about Office 365, I'm guessing, but that makes sense, as I understand Office 365 is a web version of Office programmes; which I hear rumoured are a poor substitute for fully fledged "Office".
it isn't a web app. it's more of a hybrid. you can elect either to run stuff locally or in the cloud. I do all my stuff locally. But once when the internet was down, I found I couldn't use Word. I rarely use Access 365 anyway - as I stick to A2003 pretty much, but I need to have A2013 available.
The reason I got office 365 was because I needed outlook, as my old machine had died, and Office 365 let me install on 5 PC's for a year for £99, as well as giving me a full version of word and excel among other stuff.
I haven't any problems with Office 365 which I believe is full Office2013.
eg, Excel shows as version 15.0.4649.nnnn