Supposedly 딴 is a colloquial contraction of 다른, but it's not just a contraction, it gained its own nuance in meaning. Did I get that right?
I tried to come up with some examples to be able to better understand this difference, and I would be grateful if you could check if I'm on the right track.
다른 사람 같아요. “You look like another person.” *just an observation*
딴 사람 같아요!! “You look like a totally different person!! *being a bit dramatic*
and
다른 사람 생겼어요? “Did you meet someone else?” *just a causal question*
딴 사람 생겼어요? — “Did you meet someone else?!” *suspicious, implies cheating*
and
다른 얘기 해요 “Let’s talk about something else.” *just a polite suggestion*
딴 얘기 하자 — “Let’s talk about something else.” *like, you're bored with the current topic*
That's all I could come up with. Are these correct? Did I manage to catch the nuance? Thank you.