Piercing Not possible after bad nose job? (photos)

Hello, I had a bad nose job done about 10 years ago. My nostrils were completely deformed (before they were symmetrical). About 6 years ago I had a revision and cartilage was taken from my ears to refine the nostrils. They are still not like I would want them to be but much better. I now wanted to finally get a nostril piercing but the piercer told me that the cartilage is too thick and it wouldn’t heal. Is that correct? I have no problems at all with my nose.