There is an option for debugging which will mail your database off to Omni, but it gives you an opportunity to change the destination before it is sent.
http://people.omnigroup.com/kc/Debug...lDatabase.html
You might need a bit of assistance from Omni to get the data back onto the phone, however. Or you could set up the WebDAV server at that point and do it yourself.
Do you have a complaint with the backups provided by iTunes when you sync your contacts and so on? It sounds like you have 3 independent backup routes at the moment...iTunes backup, WebDAV, and mailing the database.
In any case, to make a feature request, use Send Feedback or email
omnifocus-iphone@omnigroup.com, as forum posts don't get tracked in the development database.