-Moving Bieksa/Bernier would be the GM admitting he made a mistake picking them up this year and is going to lose assets for it. I don't think that option works for their GM.
The Ducks didn't give up a ton (possibly nothing) for Bernier. It was almost like an NBA style trade with a bunch of unlikely conditions slapped on: http://www.sportsnet.ca/hockey/nhl/breaking-conditional-pick-leafs-bernier-trade/
— If Bernier starts half of Anaheim’s playoff games next spring and the Ducks win the Stanley Cup, Toronto receives the Ducks’ 2017 second-round pick. (If Anaheim doesn’t still own that selection, it will transfer its next available second-rounder from a future year.)
— If Bernier starts half of Anaheim's playoff games next spring and the Ducks lose in the Stanley Cup Final, Toronto receives the Ducks' 2017 third-round pick. (If Anaheim doesn't still own that selection, it will transfer its next available third-rounder from a future year.)
— Should Anaheim trade Bernier to a team that starts him in half of its playoff games next spring and wins the Stanley Cup, Toronto receives the Ducks' second-round pick.
— Should Anaheim trade Bernier to a team that starts him in half of its playoff games next spring and loses in the Stanley Cup Final, Toronto receives the Ducks' third-round pick.
If none of those things happen, the Leafs will receive no tangible return for Bernier beyond the useful cap space the move created.
It'll be tough to deal Bernier since most teams aren't really shopping for a backup right now. But I don't think it's a huge PR hit to move Bernier. The GM could spin it as 'we needed the cap to sign Lindholm' and 'Gibson has shown he can shoulder the load' etc etc.
Ouch, thought he was off that contract. What were the ducks thinking.
Toronto paid Bernier a 2 million dollar bonus on July 1, so they took on his cap hit (4.15 mil) but only 2.15 mil in salary. So in theory, they thought they were getting a proven veteran at a reasonable salary. But they probably should have anticipated needing the cap space for Lindholm.