The fee is effectively burned in all the proposed forms of the operation.
While it "might" make sense to add 5% to the normal conversion (HBD -> Hive), it would require more work/testing, and I don't think there's a pressing need for it. And HBD -> Hive conversion is kind of critical to holding of HBD, because traditionally exchanges have had much less liquidity for HBD than for Hive (hopefully we can change that, of course).
RE: Proposed hardfork change to stabilize Hive Dollar’s tracking of USD value