I have to agree with Ann1958. Feeling the loss of His Royal Pinkness, some fans would look to transfer his crown to someone, anyone, who might bear blood, and all but canonize the poor soul.
As for part 2: I had heard the rumour. Ruki's real name is Matsumoto Takanori, and he was born in 1982, the year X was formed. I know it is VERY broad speculation to say that hide was capable of fathering a child at 19, (most youngsters are capable at 13 or 14, whether they should be or not) Whether he was married or not, it wouldn't really matter, neh? A ceremony and a ring can mean very little in the heat of a rock n' roll moment.
As long as there is 1/1000,000,000 of a chance he might have a child running around out there, there will be those who will look for said child and many who will continue to think of Ruki as that possible hide offspring. I assure you, I am not one of them!!
LOL I need empirical proof on these matters, birth certificates, DNA results, you know...
That said, Ruki does share similar physical attributes and some subtle behavioural nuances that I can see how people might make that leap of faith.
Either way, if he has caught wind of them, I feel for Ruki, having to shoulder the rumours.
ETA: Sorry! I was tired and kept saying Yuki, not Ruki! Oh the red cheeks of shame. lol. I meant Ruki, really I did. All fixed now. And no, I still don't think he is related.