We straightened most of this out via IM, but just to keep everyone
else in the loop:

For most QoIs, you want homogeneous Dirichlet boundaries for the
adjoint solve, and that's what libMesh now gives you as of r6082.

For flux QoIs on Dirichlet boundaries, things get more complicated -
we're still figuring out if/how we can automate the desired adjoint
BCs in the general case.
---
Roy

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