Can someone w/ periodontal disease who follows a strict treatment regimen, receive cosmetic dentistry treatmnt?

I have my teeth cleaned every 3 months, I brush 3 times a day, floss twice and rinse with a antiseptic mouthwash. I get root planing every 2 years. I have large gaps between a couple teeth as well as "long" teeth - both due to one flap surgery treatment. When I speak my lips cover these gaps but I am still very self conscious. My dentist says there is nothing that I can do. I'm wondering if he is right or not?