European Royalty would Probably Retain their Titles Longer than in OTL, Czarevitch Alexei being Only The Most Public of The Many Destabilizing Sufferers; Ironically, The British Royal Line is One of The Few Spared Just Such a Private Embarrassment!
Agreed.
The reason the British were "spared" is because of the nature of haemophilia. With the exception of spontaneous mutation, Haemophilia manifests itself in men, but is inheireted from the mother. So if Edward VII did not inheiret it from his mother, he would not get it, and either way the disease dies out in the next generation (and victoria also had several other healthy sons). Women have about a 50% chance of passing on the defective gene to their daughters; Victoria had two daughters which had the gene and three who did not, although Louise died without issue and it is unclear whether Helena had it or not (although going by the percentages it looks as though she did not). So the danger beyond Victoria's children was really only to houses which had members of the British royal family marry into them.
edit: Alix, who later became Czarina Alexandra and wife of Nicholas II, once had a marriage proposal from the once prince of wales, Albert Victor (he died, and his brother became George V). Since she is known to have been a haemophilia carrier, it could have returned, either in a male child, or in a female child, who might become the queen (after all, alexandra had 4 daughters before she had a son in otl), or who might have continued the disease in European nobility. He might die without issue, but if he has a child with alexandra, then the child could keepthe blood disease in the upper reaches of British nobility. just wanted to mention this, and sorry I forgot it the first time.