The logos of the Red Cross, among a few others, are specifically mentioned in international law, including the Geneva Conventions. Firing on vehicles or personnel displaying the logos is, unless they do some very specific bad things, a war crime.
There are a number of incidents mentioned in the post and in this thread where Red Cross workers were injured or killed by combatants. Do I have any reason to believe any of them involve "appropriation of their trademark contributed to the deaths"? No, although I would believe that the defense in most cases would be "a mistake was made". But the Red Cross (and a lot of other people) have good reason to defend those logos.
International Humanitarian Law (https://ihl-databases.icrc.org/customary-ihl/eng/docs/home):
"Rule 25. Medical personnel exclusively assigned to medical duties must be respected and protected in all circumstances. They lose their protection if they commit, outside their humanitarian function, acts harmful to the enemy."
"Rule 28. Medical units exclusively assigned to medical purposes must be respected and protected in all circumstances. They lose their protection if they are being used, outside their humanitarian function, to commit acts harmful to the enemy."
"Rule 29. Medical transports assigned exclusively to medical transportation must be respected and protected in all circumstances. They lose their protection if they are being used, outside their humanitarian function, to commit acts harmful to the enemy."
"Rule 59. The improper use of the distinctive emblems of the Geneva Conventions is prohibited."
(The Red Cross logos are such distinctive emblems.)