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Why do you think BGP was supposed to find the remaining path?
And to be less verbose -- let's remember that IP-layer
notification (specifically BGP) as a certain "ships-in-the-night"
characteristic with link-layer availability. Protocol time-outs
and all that stuff (BGP is not a LSP, per se).
What we have here... blah... is a situation which is designed
to work around the fact that failures in a certain substrate of
the protocol stack are not (and cannot be) communicated directly
to another adjoining layer.
Welcome to the Internet.
- - ferg