Like I said before, I have hand tattoos and full sleeves. It doesn't take away from my professionalism in the slightest. I get great evals, made rank as quickly as I would have without tattoos, and have always been taken seriously because I know my job, love my job, and do it well. It's 2021. Tattoos are normal. As long as they are in good taste, they are not seen as a negative thing anymore. I don't think that you come off as not wanting to serve, I can tell you really want to join the Navy, you just want to make sure you do it right and I think that's a good thing. Ask the questions, don't get turned off my some of the negativity being thrown at you. I think they are just sizing you up and making sure you are in the right head space for this commitment. If you can't push past what people say to you on AW, the Navy will eat you alive. There are positive vibes all around. If you don't go Navy and go corporate, you can land a really great job and get experience in your field. If you go enlisted, you may or may not get a rating you like, you may end up doing 4 years and deciding fuck this I'm out, but at least you leave with your GI Bill and experiences, plus with your degree and being a veteran and possibly with a security clearance form the Navy, may land a great civilian job after service. You may end up loving it and staying enlisted. You might end up getting picked up for officer in the designator you want. You may end up getting picked for officer in a designator you least expected. The point is, life is too fucking short to sit around wondering what if? Weigh your pros and cons, and take control of your life. I think you're going to do great things.
P.S. don't get your finger tats removed unless that's something you want to do. Your tattoos are a representation of you, and you should never water yourself down for someone else's approval. You fit somewhere exactly as you are, you just gotta find where that somewhere is.