I thought that "local labor market" implicitly only contained people who were local and could do the requisite labor, but that might not be the agreed-upon mean

I thought that "local labor market" implicitly only contained people who were local and could do the requisite labor, but that might not be the agreed-upon meaning. Sorry for the confusion. Strawman-ness is contextual. You were arguing against an argument that is, in fact, used. However, you did so after quoting something that was not making that argument, but instead a weaker one, and one which your response didn't really respond to.