Sorry, are you seeking to correct my mistaken impression, or was "implied" just a poor word choice? "Suggested" may have been better; I didn't mean to indicate a high-confidence conclusion but rather that it was the impression I got at the time. Your explanation makes sense but it wasn't apparent to me from your and the OP's comments in this thread alone, and I didn't know anything about your past except that there probably was history between you.

I'm trying to learn how to signal the actual degree to which I support a statement. I can't tell if you're saying that "no, it doesn't imply that" (presumably using "imply" in the logical, "A implies B" sense), which would mean I screwed up by using the word "imply" where I didn't mean to indicate a strong conclusion. Alternatively you may have just meant "no, that conclusion is incorrect" (in which case I would have omitted the first sentence, but that could be stylistic choice).