I would cut down the 2 pups and alternate cutting it with the other one. I will let the most vigorous one grow the next year without cutting it. Cutting the pups down to the ground level will not stress out the mother plant and does not help the mother plant to induce it to bloom, that is dependent with the number of warm months or days the mother plant has grown. But it helps by making the mother plant's fruits bigger if you get it to bloom. the effect of the cutting is on the pups themselves, it seems that you reset their clocks, while storing some energies in bigger sized corms. When it is their turn to take over after the mother plant is spent, these in turn will produce bigger trunks and bigger fruits.
