Apples and Oranges, people...

GoogleDocs, for example, is merely a quick, easily accessible and SHARABLE online tool.

OpenOffice is a full suite of office software with an actual footprint on a single existing computer.

Right on, I have OO, MSOffice and GDocs available to me, since most of my needs are simple and Gdocs provides the ability to keep a working copy of my Docs on the local HD for offline work if I lose my connectivity that is where most of my basic DOC work is. I also teach Seniors at a local CC 4 hours a week and since many of them don't have a computer I train them to get a Gmail acct. and use GDOCS so that when they use our computers, or at the local Library, or their childrens computers, they can always access theri work!! Thank you, Google

Not even worth comparing at this point. Not until we get more into a blur of web-based software and installed software.

"documents where I can access them whenever I like."

except for when you dont have internet connectivity, then you cant get them even if your life depended on it.