If a stylist thinks the color request seems overly-complicated or not appropriate to the hair type the client has, it's up to that stylist (not the OP) to not do the hair color. ... Or that stylist can foolishly do a crappy color to turn a profit, resulting in an angry client w/a computer and a mission, warning potential customers away from her.
Not worth it for the stylist.
If I were still professionally coloring my hair and wanted an involved color alteration, I'd research stylists who have excellent reputations for pulling off great, sophisticated color. I would want color to be their thing. Whether or not they could give me the cut of my life would be secondary, or maybe even irrelevant. I could get my hair cut before or after the color by someone else.