For this season, I would use stronger supports. They will survive replanting, but will protest. They would die back sooner in the summer, flowers will be unsatisfactory (if at all), and bulb growth for next year's display will be curtailed. This fall, I would replant deeper.
Over fertilization can encourage "falling over", as well as the possibility that the mother bulb has rotted and the plant is living on the stem roots only, that provide poor anchoring.