Aspergers and Prince Charles?
No, and here's why:
1 - As already said, Charles comes from family lines which are very inbred on both sides. Inbreeding does lead to recessive genes coming forth, and in some cases causing neurological disorders. Asperger's, however, does not fit into that subtype of neurological disorders - it neither caused by recessive genes nor results in the same disabilties as these types of recessive-gene disorders cause. So if Charles does have a neurological disorder, it's likely a recessive gene type, and that nearly eliminates AS as a possible dx.
2 - As also pointed out, Charles is English. Poor chap. English patriarchal culture is profoundly inhibited in regards to emotional expression, especially from men, and from parents toward their children. From insider accounts, Charles was a very sensitive and emotionally needy child who "lost" his mother to her duty to the crown. Hence Camilla, his surrogate mother figure. Any resulting emotional or personality disorder(s) Charles may (and mostly likely ones that may appear AS-like on the surface to people observing him from a distance) are clearly psychopathy, not neuropathy.
3 - Charles lives a life of priviledge that's nearly unparalleled and hard for us "commoners" to even imagine. No one tells him "no," no one criticizes him to his face, he's exceptionlly well insulated from reality. This could easily lead to a "disconnect" in one's personal development which results in foolishness, naivity, self-centerness and obliviousness. Yet this is environment, not neurology.
4 - Charles is, frankly, an idiot. I think thre's a lot of evidence that his idiocy comes from being emotionally damaged and overly priviledged, from insider accounts and from what we can see of his relationships with his mother, Camilla, Diana and his sons. I don't think we should confuse idiocy that comes from emotional woundedness and lack of personal development with AS. That's just, well, idiocy.
5 - Neither of his sons seem at all AS-like. And given the evidence that AS can be inherited, especially from fathers to their children, I think that's fairly telling. The princes are overly priviledged and then to be idiots like their father in that way. But unlike Charles, they had a mother who showed them warm and tenderness during their childhood, and so they are not as emotionally damages as Charles, thankfully. And by all account, they seem neurologically "normal."
Love does have many meanings, and Charles was raised to see marriage as duty - do your duty and it is a type of love. But the common ideas of romantic love were also in his head, which made him say 'whatever love is'.
As to whether he is on the spectrum, ... maybe.
This. Plus all of the ritualistic duties of royalty that demand emotional restraint, combined with just being English, creates the illusion of aspieness. Highly unlikely that he is on the spectrum. Lets put it this way: if you called it right that he is an aspie, you have concluded the right things for the wrong reasons. The evidence given is just evidence of rigidly programmed British royal neurosis and not of autism.