Yes, that is what they pointed out, but it made no sense. The only way that could have applicability to the conversation is if you moved the entire business into that new "offshore" office, but then you wouldn't be "offshoring" anymore. You will have moved the business instead. Which isn't what anyone is talking about. The original comment is clearly about offshoring, not relocating businesses.
I expect you are right that the other commenter misinterpreted something and replied based on that misinterpretation. But, no need to change the subject because of their confusion. Especially when, as you point out, they established the subject! If it was good enough then, it remains good enough now.