I think we should assume from the outset that qualia are necessarily intensional, especially if we want them to play some epistemically foundational role, which is typically why they're invoked. If qualia have to be intensional, and the private language argument bars our associating any concepts with them then the private language argument contradicts the possibility of qualia. Not having concepts with which to talk or think about qualia means that we couldn't ever be aware of anything like a 'green' or 'painful' quale.