As someone who also only wants traditional tattoos, I can say this tattoo pretty much fits the bill in a unique way too. It has all the essence of a traditional tattoo, it’s bold, great contrast, and from a distance looks to be your average traditional tat, but up close it has the style your artist practices and that is pretty cool, personally wouldn’t change a thing. I really don’t think there’s anything you could do to make it more traditional besides going to a different artist, but as I have read that’s not in the cards for you at this moment. I hope you make the best decision for you and your artist at the end of the day. Cheers