So sorry, can't send you relief goods because of the carbon footprint ---
Nice one, tell that to the people who have nothing left but the shirts on their backs...
Sure, there's issues in that respect that need adressing, and sure, there will be officials in the receiving country who will be 'difficult' , because they only care about their own 'wellbeing', but this isn't the time and this isn't the place to ride the high horse of morality...
As one writer once put it : Eating first, ehtics second.