That's a lot of nice math, but it leaves out the most important question: what is the role of the TIE advanced supposed to be? Until you figure out why the ship should exist at all you're never going to get an appropriate solution for it.
Reread scenario 4 and 8.
But your explanation for those scenarios doesn't really answer my question. You've established that the FCS solution fixes the jousting math, but I don't really see a purpose for the ship. Maybe you've got a one-shot cluster missile gimmick, but is that really enough to build a whole ship around? And beyond that I don't really see any role that would make me want to take the TIE advanced over any other ship with the same jousting value.