Verticalagain...re-read the wiki article again, closely....
It doesn't say that EMBRYONIC stem cells have no problem with immunity issues.... indeed that's the chief "technological hurdle" facing scientists, who have all the technology needed already to handle "adult" stem cells (pluripotent).
IOW, the claim that EMBRYONIC stem cell lines are the cure for everything is still pie-in-the-sky 'theoretical'... which is why little PRIVATE FUNDING is seeking that avenue - hence the push for Tax dollars for research...
It's only theoretical that such cells are indeed totipotent, in that they are the first cells of the new human individual (*called 'embryo) they're going to grow into everything in the human body.... but their DNA, blood type, genetic make up is for THAT individual's body, not ANY individual's body. If you cultivate that cell into organs or skin or bones, those organs, skin and bone will still retain the DNA, genetics (with all the good and bad) and predisposition for a given blood type of the "donor" - which may or may NOT match the receiver.
None of this type of problem is evident in ADULT stem cells harvested from the sick person's own body or from a relative's umbillical cord blood.
In short, there is alot of people making alot of self serving claims (for huge dollars) by fudging their language. It's very similar to the people who - for the sake of getting certain "contraceptive" pills legalized claim that Pregnancy only starts at implantation, not conception.... because if they admit what has always been accepted - that a woman is pregnant from the moment of conception - those "morning after pills" would be abortifacient, not "contraception" since CONCEPTION already took place - or potentially took place...