Yes, you are correct - 0.9.3 is not the point, as it is happening also on 0.9.1 with WP 3.7.x.
Can you try our configuration on a test site or similar?
The Backwpup plugin will enable you to quickly use an email delivery feature.
Alternatively, if you can direct us to somehow debug this issue and send you/post here the results, it will also be great.