If the LLM could reason, shouldn't it be able to say "my token training prevents me from understanding the question as asked. I don't know how many 'r's there are in Strawberry, and I don't have a means of finding that answer"? Or at least something similar right? If I asked you what some word in a language you didn't know, you should be able to say "I don't know that word or language". You may be able to give me all sorts of reasons why you don't know it, and that's all fine. But you would be aware that you don't know and would be able to say "I don't know".

If I understand you correctly, you're saying the LLM gets it wrong because it doesn't know or understand that words are built from letters because all it knows are tokens. I'm saying that's fine, but it should be able to reason that it doesn't know the answer, and say that. I assert that it doesn't know that it doesn't know what letters are, because it is incapable of coming to that judgement about its own knowledge and limitations.

Being able to say what you know and what you don't know are critical to being able to solve logic problems. Knowing which information is missing and can be derived from known things, and which cannot be derived is key to problem solving based on reason. I still assert that LLMs cannot reason.