  Quantum mechanics allows the occurrence of events without having any definite
causal order. Here, it is shown that the application of two different thermal
channels in the causally inseparable order can enhance the potential to extract
work, in contrast to any of their definite (separable) order of compositions.
This enhancement is also possible even without assigning any thermodynamic
resource value to the controlling qubit. Further, we provide the first
non-trivial example of causal enhancement with non-unital pin maps, for which
it is still not clear how to obtain a superposition of path structure (under
definite causal order). Hence, it may be a potential candidate to accentuate
the difference between superposition of time and superposition of path.
