I had a good friend in high school who was perpetually annoyed that her parents had given her the “boy” spelling of a pair of names where there is a boy/girl homophone (Think Ray/Rae but a different pair…one where I’ve never met another female with the “boy” spelling). She was always put in the wrong gym class! Every year! Teachers were always getting confused, switching her name to the “girl” spelling because they thought there was some error in the records.
OP, I would not over think it. I think with “any pronouns” being an option, it feels like the kind of thing some people are going to check because they are trying to communicate they don’t care about pronouns even if that wasn’t the intention of the option. I think admissions officers have way too much to worry about to think about this!