You are correct about how this works. I think the "Side Journey To Titan" paper makes it obvious the authors also understand how it works.
So if you can magically summon working attacks, you would choose the symmetric AES key yes.
One conclusion you could draw from this paper is the authors are idiots and didn't realise they should attack that key or else didn't have the relevant expertise to do so.
Another, I suspect far more likely conclusion is that protecting AES keys in dedicated security hardware is a problem lots of people already put effort into and these researchers wisely concluded they wouldn't get any traction there because this is a standard component.