First of all, I must say I've seen only about thirty random episodes of "Criminal Minds," so I didn't know which case they were referring to when talking about Emily confronting Reid. (You did explain it later on, and you did it very skillfully. Kudos to you!) Another thing that I must say is that I do feel I'm able to notice whether the characters are in character or not. (I wouldn't dare to write them, though.)
Secondly, I'm sorry (though I'm not sure whether I should be

), but I really didn't have enough time to nitpick.
Okay, now onto my real review.
I liked the story very much. The main reason for that is your dialogue, which sounded very natural -- it wasn't forced in the least bit. I could easily imagine Hotch and Reid exchanging your lines on the screen. You have an excellent grasp of the characters.
Your main idea is also excellent -- it's hard for all of us to accept the fact that, sometimes, some things are just not meant to be understood, and I think that for people like Reid and Hotch -- whose job is to understand another person's mind -- it may be even harder.
Of course, the way in which you linked “Criminal Minds” with “CSI:NY” is -- in my opinion -- very, very inventive. Great idea!
Moreover, you said a couple of big truths, and -- what's even more important -- you nicely embedded them into the dialogue, so that they didn't come across as the author "moralizing" (maybe not exactly the right word, but I think you'll know what I mean). Some of them are:
“'You and I both know it’s not that easy,' Hotch commented.” (when Reid said Dr. Pino could have simply asked his friends to help him)
and
“It’s easy to hide behind personas.” (also by Hotchner).
I especially liked the following big truth about their unit:
"We all pretend that we don’t profile each other, but we do. We pick up on each other’s moods, we know when something’s "changed in someone’s life. We know almost everything about each other. We may not know the details, but we know "something’s changed.”
I can't but mention this, too: “'I’ll get back to you on that,' Reid replied, closing the door behind him.” This reply, in my humble opinion, is completely Reid-esque.
I also must mention the little something with which you sort of lightened the mood near the end. It's:
“Not that I find it boring. I actually find it quite fascinating. Kant, Sartre, Aristotle, Bentham, Socrates, and Plato are really "some very interesting philosophers. Like, did you know that Bentham was actually one of the first advocates for equal "rights for...”
That's Spencer Reid, alright.
Summing up, this is a story with an interesting theme and great characterization. I thoroughly enjoyed it, and it made me want to read more of your work when I have time. Keep up the good work!
TQ: These questions are really difficult to answer 'cause I love all my reviews.
I don't think I have a review which I think is bad. Sure, some of them aren't very constructive, but not a single one is mean or completely useless -- at least in my opinion.
As for the best review I've had... Well, I don't know. Some people have pointed out some of my mistakes and I'm very grateful to them; some have pointed out the things they liked and I'm very grateful to them, too -- I love all my reviews (as I already said

). The one that made me happiest probably was the first one I've ever gotten, though.
Edit: formatting problem & a spelling mistake (or two

)