Taking my summer off to play poker full time: bad idea?

Hello everyone, a little background on me first. I'm a sophomore at a top 10 national university with a 3.5 GPA and currently majoring in economics. After graduation, I hope to work in a prop shop such as SIG, DRW, or Jane Street.

I have been playing poker since my freshman year in high school. It is my passion and I and am undeniably a solid winning player. Live poker has been my sole source of income for the past few years. During the school year, I try and play at least 20 hours a week plus spend at least a few hours studying the game through books, articles, forums, and training sites. Last summer after my freshman year in college, I played full time for a few weeks and absolutely crushed. My current bankroll is upwards of $15,000 and my main game is $2/$5 no limit hold'em with a $1000 max buy-in. I use software to track all my play, and have played over 2000 hours since my junior year in high school. Over the past several hundred hours, I average about $45/hour. I have complete confidence in my abilities as a poker player.

My question is this. Considering my future career goals and the fact that I am currently only a sophomore, would it be a good idea to take this summer and play full time? Would such an experience when applying for a prop trading internship junior year give me an edge over someone who spent their sophomore year at a conventional internship at a boutique bank, private equity firm, etc? If not, how detrimental would playing poker full time be compared to taking a conventional internship given the fact that I have no work experience on my resume? I know such firms place great emphasis on poker skills and at interviews I would be able to back up my claims with data because I record my wins and losses for all my sessions. However, I do not know whether I will be able to successfully substitute relevant work experience with professional poker playing. Thank you all for your feedback!