Morals aside, it kind of make sense from an economical standpoint: a single guy dies, that's sad. A father of four dies, that's sad and the community has to support four orphans...
Controversial opinion: making that call to save living creatures is fine in my personal moral compass. Make that call for a building, be it symbolic and of rich cultural significance, not so much. As long as nobody is in danger, do everything to save it but if it burns to the ground, it can be rebuilt. A lost life and its consequences cannot.
I was, honestly, furious, when I heard the commander chose to send his men into the northern tower simply to save a pile of rocks....
[0]https://en.wikipedia.org/wiki/Marseille_Naval_Fire_Battalion