Oops! Sorry Aaron. I hope what I said doesn't get you killed.
The man does what the best modern caricaturists do: he sees his subjects as weird, biological specimens. You see it in his two-man "friend" portraits, which always look like the love of a sea urchin for a flounder. I mean that as a compliment.
I think Aaron has the right approach. Just draw what you see. At least it's honest, and maybe one day Asians won't be so touchy about it.
Probably these (above) were just-for-fun sketches, done at home. The task for a caricaturist is to retain this cartoony, class clown style even in a worked-up painting.
This reminds me of something caricaturist Marlo Meekins said. She said she didn't mind it when people moved a lot while she was sketching them. The movement made her focus on her impression of the subject, rather than fidelity to reality.
Anyway, great work Aaron!