I actually take a differing view on this, and think that battlecruisers should be able to kill battleships 1v1, because otherwise there is only one direct counter to a battleship, and that would be bomber spam.
I think this because the designers of these battlecruisers would have seen the massive influx of new battleship designs and tried to make something smaller and able to defeat them. I think the battlecruiser is this class.
After all, they can support alot of cruiser capitalship killing weaponry, and I think thats the way it should be. However... the smaller battleships like the Togo and the Osiris are kind of a hybrid, and are the best of both worlds, in a sense. More immunity from battlecruisers, but less armour and guns than other battleships.
A smartly flown BC should be able to defeat a large battleship. By smartly flown, I mean at range. Size makes a massive difference at those ranges.