Efficiency can be measured in many ways. An Indy car can be more efficient than a hybrid at getting one person to a destination if it's just time we are comparing, while the hybrid will win if we look at fuel, or semi truck may be more efficient if we need to get one person plus 50,000 lbs of cargo to a destination.
So to discuss efficiency we need to know what is being compared... one way the BK could be almost 4x efficient is if we are talking about burn time per loads. We don't have to define what a load is, or how much heat the stove puts out, just that it is possible that BK will burn for 4x longer for 1 load of fuel. I don't think that is too much of a stretch as most non-cats are probably under the 8hr range with a few maybe a bit more.
Efficiency has a standard definition for most industries. For wood stoves, "efficiency" without further qualification means thermal efficiency, which is the amount of heat transferred into the room to be heated divided by the total heat energy available in the fuel. This is what most people expect and what intuitively makes sense for the definition of a stove's efficiency.