But I also spent a lot of my youth in France, where it means exactly that.
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.
I've literally used them when developing a video game before, and that's what I was thinking as I implemented them.
I've also used the red cross when making a game before without even thinking about a possible trademark or protection, it was already a generic symbol to me. Come to think of it, I just used it again in the art for a board game I was making. I guess I should change it, but I'm not sure to what (I guess a green cross?).