I wanted them to see compversions.com.
If I have index.html - as far as I found anyway - in my public directory, all requests to compversions.com (logged in or not) will either redirect to compversions/home/index or compversions.com/index.html.
So, as far as my research told me at the time (remember I am just learning Rails still, so I could be wrong anyway) was that if I wanted logged in users to see compversions.com when they are logged in and on the root_path, there couldn't be a index.html, otherwise Rails routing would default to index.html.