You all are describing my LO from 4.5 months until 2 weeks ago. He would give me a look of disgust if his beloved avocado puree had even the smallest lump, and spit it out.
Then he just one day got finger foods - starting with a few things, and expanding over time. At breakfast this morning he chomped on an apple muffin, cherries (steamed), strawberries (fresh), pineapple (steamed), avocado, and multigrain rice cakes. He barely touched his avocado/strawberry/blueberry puree that he usually loves.
Every day he gets more adventurous. And I thought he'd never eat finger foods. So, just keep trying! Not sure when or how or why, but I think these kids just one day get it.