et's not deny that winter sports, so defined, is, at present, what the Winter Olympics are about. If they want to change that, it's their right to do so, but it changes the nature of that jamboree.
But isn't the the problem? That the definition being used is just way too narrow.
Surely, CX can't be the only sport that is defined by taking place outdoor during the winter, so in wintery conditions, even if those conditions don't necessarily involve snow and/or ice... note how all the sports you listed further up generally take place indoor, so not in any sort of wintery conditions.