Doesn't seem to be. There have been lots of reports from people ticketing with QF, CX, AA, and BA, all seem to fit in line pricewise. You'll have variations to some degree, but overall your fuel surcharges should be small on ex-Japan. Choice of carrier matters far less than other points of origin.

For what it's worth, I had several CX segments, both regional and long haul on a CX issued ticket, it was still only like 50,000 JPY YR, there was no YQ at all on that ticket. I later changed my regional CX segments to MH / JL and there was no additional YR collected.

On a QF issued ex-TYO 2 years ago, I just found that e-ticket also, it was 30,000 JPY in YQ and 14,000 JPY in YR. That one had 2 x QF long haul segments on it and some CX regional.

So it does seem different issuing carriers might distribute it differently but both are still quite small. I know we've had other members in here post their ex-TYO YQ / YR and they are always in that general range, never seen anyone post something over US$400.