  We discuss exchange scenario's thermodynamic uncertainty relations for the
work done on a two-qubit entangled nonequilibrium steady state obtained by
coupling the two qubits and putting each of them in weak contact with a thermal
bath. In this way we investigate the use of entangled nonequilibrium steady
states as end-points of thermodynamic cycles. In this framework, we prove
analytically that for a paradigmatic unitary it is possible to construct an
exchange scenario's thermodynamic uncertainty relation. However, despite
holding in many cases, we also show that such relation ceases to be valid when
considering other suitable unitary quenches. Furthermore, this paradigmatic
example allows us to shed light on the role of the entanglement between the two
qubits for precise work absorption. By considering the projection of the
entangled steady state onto the set of separable states, we provide examples
where such projection implies an increase of the relative uncertainty, showing
the usefulness of entanglement.
