A very important step that is missing is inviting team members to the axshare workspace.
It would be helpful if this process was implemented in the initial team axure file setup, not buried in the separate axshare flow. It doesn't matter who owns the SVN environment, the initial file, etc what matters is who publishes first. Whomever that person is needs to invite others to their axshare workspace.
So, for example:
1. Create the shared file
2. Create the shared workspace - invite team members
3. Create local folder
4. Remainder of the flow