  The accurate characterisation of energy exchanges between nanoscale quantum
systems and their environments is of paramount importance for quantum
technologies, and central to quantum thermodynamics. Here, we show that, in
order to accurately approximate steady-state heat currents via perturbative
master equations, the coupling-induced reorganisation correction to the
system's energy must be carefully taken into account. Not doing so, may yield
sizeable errors, especially at low, or even moderate temperatures. In
particular, we show how a 'reorganised master equation' can produce very
accurate estimates for the heat currents when the reorganisation energy is weak
and one works with environments with a broad spectrum. Notably, such master
equation outperforms its 'non-reorganised' counterpart in the calculation of
heat currents, at modelling dynamics, and at correctly capturing equilibration.
This is so even if both types of equation are derived to the same order of
perturbation theory. Most importantly, working with reorganised master
equations does not involve additional complications when compared with
alternative approaches. Also, invoking the secular approximation to secure
thermodynamic consistency does not compromise their precision.
