One question, if I may?
If you are not going to get the haircut after all of the (solicited) advice
to the contrary by people who have gone through the early stages of their
career some time ago, why did you ask the question in the first place?
Were you hoping for a round of "nah, it shouldn't matter!"?
You are not interviewing for a position as a drummer in a Reggae band.
You are asking someone to invest their money in your career. I think the
minor effort of trying to look somewhat serious about it should not hurt you
too much.
Good luck,
Rigidhead