Raccoon worms and stalking teen-agers aside...
My oldest brother is severely autistic. He needs routines - it makes him feel secure and safe. Any break in a routine will cause him to protest. For example, when family comes to visit him, he *has* to be taken out to eat. He expects "Kentucky Fried Chicken" at "Ginos", even though the restaurant no longer exists and he is actually willing to eat hamburgers or pizza. But that's the first request. And if you go in the wrong direction, he will let you know. And then there must be ice cream. And then he'll go sit in the car, thank you very much.
Like many autists, he doesn't like physical contact any more than he likes eye contact. Therefore, when he holds my mother's hand for an entire visit, as he's been doing, she treats it like the amazing thing it is. That he holds her boyfriend's hand is even more amazing (and I think speaks more about Lenny - he projects such an air of calm and patience that even Jeffrey responds.)
That Adam, who is even further along that curve than Jeffrey (Jeffrey has language and physical coordination), needs such severe scheduling makes perfect sense. That he made eye contact several times with House - is a miracle. That he made a real connection with this stranger is even more so, and his parents were right to rejoice in that.
I...have some Aspberger's traits. I always test high on those online quizes. I don't like my routines disrupted and I love patterns (I think this is one of the reasons knitting appeals to me - innate rhythm, you know?) A minor change can set me off unless I prepare myself for it, and I need time to adjust. Time = a couple of seconds, but I NEED it. My husband is also like this - it's what makes him a good programmer, but it's also what makes change = bad for him. And it really bothers him when something he imagines to be set in stone isn't.
House is just extremely bright. He reads people very well (I have a little problem with that), he connects with them well. I suspect he keeps away from patients because he doesn't want to make those connections - they affect the way he thinks. It's also why he's developed a personality that puts people off (that and the pain, but I think he had this personality before the vasculitis) - to reduce this. That is, he may be a touch too empathic. Better to hid in your office, you know? What he's not is autistic in any way.
I'm not sure what game he's playing with the carpet, but it's not that. It's more than a powerplay.