Is the Elitzur-Vaidman bomb tester an example of adiabatic evolution?

I’m trying to grok more of the adiabatic model. I also really enjoyed O’Donnell’s lecture on the Elitzur-Vaidman bomb tester.

The familiar setup involves a test for the presence (or absence) of a bomb. The bomb goes off if a qubit passes through in the $vert 1rangle$ state, and does nothing if going through in the $vert 0rangle$ state.

Conventionally a qubit is prepared in the $vert +rangle$ state to go through the bomb tester, and if it doesn’t trigger the bomb, it is measured in the ${vert +rangle,vert -rangle}$ basis. If the bomb is present, there’s a 50% it will go off, a 25% chance that it might be inconclusive but a 25% chance that the qubit will be measured as $vert -rangle$, proving the presence of the bomb.

In O’Donnell’s description of the improved test, a qubit without a bomb present is slowly rotated by $epsilon$ degrees, from $vert 0rangle$ to $vert 1rangle$. However if a bomb is present, the qubit will remain in $vert 0rangle$ with high probability.

This slow rotation of the qubit feels, to me, a bit like a slowroll of a changing Hamiltonian used in the adiabatic model. But that’s where my intuition hits a road-block of not understanding the adiabatic theorem well enough.

Is my intuition close to correct? How would one frame the Elitzur-Vaidman bomb tester in terms of the adiabatic theorem? For example what would be the initial and final Hamiltonians?