I think (but this is only an opinion), that if the paper used the word "hemophilia", and the Imperial family don't deny it, it must have been for they know how the "blood disorder" was. Nicholas II was still an important and powerful ruler when the paper published the news.
And, if you wants to check the differences between hemophilia and thrombocytopenia, I think that we discussed the topic here in this very thread. The Tsarevich had all the symptoms of hemophilia, and we must add to this , that he was sourrounded by hemophiliac relatives, by the side of her mother. Alix brother himself dead from it.
For more details, please , visit: www. hemophilia.org . It has a great amount of information about this "blood disorder".
RealAnastasia.