My vote is maybe.
I can't/won't say yea or nay because it all comes down to me about how it impacted you.
How did it impact you?
~Did you find out that you can fight through the pain that was unbearable because your goal was to be you at 100% again?
~Did you find that you relied on others? Thinking... military supporting those that could not support themselves. Or teamwork required in the military, be it enlisted and officers or USNA and their sister branches.
If your answer is never in my life I felt pain or not playing a sport, well maybe this is not what you want to write about. If it is watching the chance to play your sport while recuperating, and losing a social circle because you couldn't be part of the team, than that is different impo.
DoDMERB is a medical clearing house for commissioning sources. As others have stated, this is moot from will it harm me or a hornets nest. Either they will Q you or DQ you. The topic of your essay has no impact on their decision.
~ Even if DQd, it will go to the Navy's Docs, they will only look at your medical records. It will be a medical decision.
The assumption that they will contact DoDMERB and say: Look at this kid hard is a fallacy as far as I am concerned for many reasons.
~ No. 1 is that if USNA is like USAFA, the applicant could become a candidate and have the exam before they submit their essay.
~ No. 2 they have to read their essay, and contact DoDMERB. They have @16,000 files that are opened annually. That is a lot of leg work, knowing at the same time, part of the 3 Qs is DoDMERB.
Best of luck.
OBTW, I think you should throw most of our opinions out the window, including mine, except for posters that are BGO/ALO/FFRs. They are trained in this world. The rest of us are looking at our own anecdotal experience.