Call that "deeper message" A1. He's got arguments A1 and A2, and goes "if P, then A1(P) implies C; and if ¬P, then A2(¬P) implies C; therefore C". But we can just as easily go "if ¬P, then A1(¬P) implies ¬C" (as you did); "and if P, then A2(P) implies ¬C; therefore ¬C". Logical arguments don't let you do this: the arguments are pure rhetoric.
Quite a lot of Richard Stallman's arguments are pure rhetoric, actually. And, I mean, I guess it worked, in that the GPL and FSF ended up being quite influential; but the trouble with building a philosophy on rhetoric is that people start to believe that rhetoric – including you –, and it erodes and replaces the foundations of their beliefs, so it'll all come crashing down sooner or later.
I don't really think we need to engage with the rhetoric on an intellectual level, since it's obviously wrong: far better to read philosophers whose reasoning is sound, or to come up with your own ideas.