As I said, it's not my area of practice...but I read quite a bit, and I'm not sure everything you said is correct. Johnson & Johnson has been using this symbol in profit-making activities for a hundred years or so without any (successful) challenge to its right to do so. The American Red Cross (not the IRC) has been actively retailing products with the symbol on it in alleged "charitable fund raising" activities for only a few years.
I think the issue here is not whether the ARC has the right to use the symbol; the question is whether the use made of it
in this case is lawful. And all I keep saying is, don't be hasty to reach a conclusion - the answer may not be obvious.
Frank2135