Well, I think the sense in which you mean rationalism is broader than the narrow philosophical sense (because the Enlightenment essentially ended in a victory for the empiricists since the most outrageously transformative product was the scientific method, which is intensely empirical--and it was that flavor, mostly in the positivism vein, that the Frankfurt School folks and postmodern thinkers were reacting to).

If my impression is correct, then I don't think the argument you've presented is particularly compelling because you didn't really develop it here but rather referred to arguments from others. It's more of a sketch of what one would need to consider to make an argument, or a notification than an argument exists, than an argument itself.