It's not that you need an LLM for OCR but the fact that an LLM can do OCR (and handwriting recognition which is much harder) despite not being made specifically for that purpose is indicative of something. The jump from knowing "this is a picture of a paper with writing on it" like what you get with CLIP to being able to reproduce what's on the paper is, to me, close enough to seeing that the difference isn't meaningful anymore.
Sometimes if you upload an image to ChatGPT and ask for OCR it will run Python code that executes Tesseract, but that's effectively a bug: GPT-4 vision works much better than that, and it will use GPT-4 vision if you tell it "don't use Python" or similar.