Let me start off by saying I'm not a biology expert, but the idea is thought-provoking, so here it goes.
Depending on external conditions for your thermoregulation is indeed more energy-efficient, as you've mentioned. The body doesn't bother with that mechanism and saves on calories. This would free up a good percentage of caloric resources in the alien's body that he could in turn use for other more pressing bodily functions (maybe something awesome only these aliens can do, and now your MC can do as well...). It makes the organism very dependent on external factors though, which is a huge disadvantage to their adaptability, so I don't know if this alien race would be too advanced. Yes, the motivation to control these external factors could be a push towards technical advancement, but they would've still been too constricted by this very limiting cold blood, relegating them to very specific time frames and parts of their world, as well as forcing them to extended periods of basking in preparation for any action worth the energy. Their world would need to be very hot all around, night and day (if you want these aliens to be advanced). Cold-blooded to warm-blooded is a very important hurdle to overcome if any species wants to make it in the universe as highly advanced, IMHO, at least from the viewpoint of Earth biology. Keep in mind basking takes up copious amounts of time from an organism's daily routine, leaving very little time for progress once the other more pressing bodily needs are met.
Also, I would think the bigger the animal, the longer the basking (although I could be wrong on this). But if I'm right, the aliens would be small, or have a way of expanding their receptive surface to heat/infrared light for more energy efficiency. Maybe that could be an interesting bodily transformation for the MC?
What would be interesting is if the MC could learn to switch between mammal warm-blood mechanisms and a alien cold-blood mechanisms (at precise times of the day--maybe controlled by infrared light intensity?--or at will). If these aliens have a special biologic function that needs a cold-blooded system to work, the MC could choose to drop his temperature to "save up energy" and set the body up for this action. This would open some interesting narrative about the gradual transition in his body as well.
I don't think I've even come close to answering your question, but I appreciate the distraction from my WiP, so excuse my disoriented ramblings
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