Would a duck bill with a limited last longer/better (on dig out s and mistimed drivers, not purposefully driving every yorker)
You can look at it two ways, a modern concaved bat Vs a duck bill toe (mxture of the two).
Modern profile - This will usually have more willow removed from the back which will extend into the toe area making it weaker.
Modern/ duck bill - This can still can have a concaved back, however the concaving doesn't extend in to the toe, potentially making it stronger. See picture below after rough shaping.
Obviously the two examples about aren't an exact science as you can have a mixture of any profile.