BackendResult from circuit with non-default classical register has incorrect c_bits

[cqc-alec]

b = IBMQBackend("ibm_nazca")
c = Circuit(2)
c.add_c_register("b", 2)
c.H(0).CX(0,1).Measure(Qubit(0), Bit("b", 0)).Measure(Qubit(1), Bit("b", 1))
c1 = b.get_compiled_circuit(c, optimisation_level=1)
h = b.process_circuit(c1, n_shots=10)
r = b.get_result(h)
print( r.get_counts(cbits=[Bit("b", 0), Bit("b", 1)]))

Error:

ValueError: Requested Bit not in result.

print(r)

Output:

BackendResult(q_bits={},c_bits={c[0]: 0, c[1]: 1},counts=Counter({OutcomeArray([[0]], dtype=uint8): 7, OutcomeArray([[192]], dtype=uint8): 3}),shots=None,state=None,unitary=None,density_matrix=None)