I can't see why somebody would NOT want to log all their hours. At least you have a full story and I certainly would expect anybody I hired from to be assured that I was current.
Assume that in FAA/CAA/JAR/EASA lands all the aeroplane hours have to be logged anyway for engine airframe and propellor log purposes. Surely if you have that discipline it's no more trouble to log the pilots hours as well.