The red cross had issues in the past with the symbols. Muslims didn't wanted to be treated for them (seeing the cross as a symbol for christians), so they needed to create the 'Red crescent' symbol exclusively for Muslims. But then jews, hindi and asians felt excluded also, so a third symbol was necessary, the red crystal, that aim to represent humanitary work without being assimilated to one of the bands in conflict. The red crystal is used in delicate cases to not upset anybody.
The red cross should be named now the red crystal, to hide that it was created in an European context, by a christian, and also that is just the Switzerland flag with inverted colors (he was from Geneva).
Is a good example of how politics and ideology can spoil anything.