I got an update from Award Wallet today talking about the exact same subject.
https://awardwallet.com/blog/british...tyn=nszy92193k
Quietly and without any announcement, British Airways cut the high fuel surcharges it used to charge for awards on Iberia flights. The new charges align with the more modest fuel surcharges that Iberia levies on its own awards!
Hopefully eventually BA will do the same with QR flights.