I am going to repeat here what granny said all along. Do not compare yourself with others! Though it sounds cliché, this is crucial. While I was in love with Development Economics and not particularly fond of the mathematical methods of economics, I made myself go through several unnecessary and painful processes of applying for finance based positions in leading investment banks all over the world. Why? Peer-pressure in a top economics college of India where everyone blindly runs behind big brand names offering high salary packages! Of course, the outcome was repeated rejection- not good for one´s self esteem and also not worth it in the long term, as I can see today in retrospect.
In conclusion, I would like to say that what you make out of an internship experience and how much you leverage from the social network you make depends on you. Every experience contributes to who we are as people and professionals. Make sure you take time to dig into the details of what you want, what you learned from a given experience and share it with the recruiters in an authentic way as you go along. At the end of the day, recruiters want authentic people with authentic experiences and real life skills. Gather those and move ahead with confidence!