I grew a batch of romaine that shot up flowers in the July heat, and the leaves turned bitter as heck. My neighbor swore pulling it was the only move, but my grandma always said bolted lettuce still makes great soup stock if you harvest early enough. I tried the soup route with a few stalks from my backyard in Austin, and honestly it was fine, not amazing. So which side are you on, do you yank the ugly bolters or find a use for them? Has anyone actually gotten a good meal out of lettuce that went to seed?
Ever try the flowers themselves? That's the move I keep coming back to when mine bolt. The buds before they open taste like a mild artichoke, kinda nutty, and you can toss them in a stir fry or pickle them. The leaves are a lost cause once they get that bitter, but the stem and buds still have some life in them. I let a few heads go to seed on purpose now just for that. So your grandma was onto something, just aim higher up the plant.