No, outside Delhi students don’t face any kind of problems or discrimination at IIIT Delhi although it has 85% Delhi reservations. The seniors are very friendly and don’t demand any kind of respect or authority from them. There is no segregation in hostels too. Students of different programs and backgrounds stay together. Students make friends in hostels irrespective of their home state. IIIT Delhi has a ragging-free campus. The Outside Delhi students aren’t treated differently and almost everyone befriends them.
There haven’t ever been such cases where an outside Delhi student wasn't able to fit in. It’s better not to be influenced by random YouTube videos, social media, and Bollywood. You will be studying with some of the smartest and warmest people!