Dem Krebs your right on. The one that doesn't ripen is from the hardier
root stalk below the graft. The one that ripens is the grafted intended tree. I would heavily prune (40% ish) the one that doesn't ripen after leaf drop or late winter about a month before the buds swell. This will encourage the good tree to grow. Do this 2x and then the following year you
should be able to remove it totally or just keep it very pruned back. Most of the tree's
energy will go to the unwanted side if you let it.