Is the Hajj performed by proxy sufficient if the original person recovers before the proxy completes the Hajj?

Primary text

If the sick person recovers before the proxy finishes the Hajj, the Hajj performed by proxy should not suffice, as the sick person became capable of performing the original act before the substitute was completed. Therefore, the original obligation falls upon him. This is analogous to a minor or a woman whose menstruation ceased when they experience the relevant event (menstruation/puberty) before completing their waiting period counted in months, or the one performing Tayammum when water becomes available during his prayer.