Beyond the name calling as things are it is one of
1. Issue with line card
2. Issue with line between line card and customer NTE5
3. Issue with users modems
The problem being that in all three cases it is possible for some influence outside of BT's control, and thus outside of Be's control that is causing the occassional disconnect.
I am willing to go on record as saying that a disconnect once every 24 to 48 hours does not constititute a fault. I suspect that this also applies to BT Wholesale and Openreach.
As for not moving away from an ISP, there is nothing stoppping a person pursuing an ISP after leaving, in fact if you moved and the issue went away it would further support the idea that it was a Be specific issue.