Coherently controlled thermalization via the quantum SWITCH allows to activate the state of a work medium and, hence, extract a non-zero work. However, such thermalization puts certain constraints on extractable work with respect to the temperatures of the work medium and reservoirs. We analyze these constraints and the possible ways to go beyond them. We characterize the impact that entanglement between target and control has on ergotropy and highlight the role of the coherence present in the state of the work medium. Last but not least, some of the results are generalized to the case of 𝑁 -switch.