Such a trade-off would not solve the implementation challenges of leaning-against-the-wind, while it may rekindle the deeper policy challenges that central banks encountered in the past when they sacrificed price stability for other policy concerns.
Indeed, the lesson from the 1970s is that, if a central bank downgrades its inflation mandate to a point where inflation expectations become seriously de-anchored, sooner or later it will be called upon to assume full responsibility for bringing inflation back under control.