Actually, since the hurricane season keeps starting earlier and earlier, that would benefit the top of the list (since early-season hurricanes tend to be weaker) because the ones that everyone hears about will almost certainly be several names down the list. For instance, the only ones that anybody's heard about this year are Beryl (second named storm), Helene (eighth named storm), and Milton (thirteenth named storm). Even Kirk (eleventh named storm and a category 4) went by without a fuss, because it never made landfall.

So my suggestion is, we keep going with the naming system we have, but go with your list--maybe use the Carbon Majors report--and apply the company's name when they make landfall as a Category 3 or higher, when they cause more than ten fatalities, or when they prompt the evacuation of more than 5,000 people. At that point, the storm gets a tag: "Hurricane Chinese-Coal Beryl." "Hurricane Saudi-Oil Helene." "Hurricane Russian-Oil Milton."