Prayer: If noon and afternoon prayers were done on time, but nāfilahs are prayed later, should the intention be qaḍā’?

Practical Laws of Islam as per the teachings of Imam Khamenei

Prayer: If noon and afternoon prayers were done on time, but nāfilahs are prayed later, should the intention be qaḍā’?

English:

Question #716:

Having performed the noon and afternoon prayers during the nāfilah’s time, occasionally we perform their nāfilahs, should the intention be to make qaḍā’ or something else?

Answer #716:

In such a case, it is based on caution to perform them for the sake of proximity to Allah, the Exalted, not with the intention of adā’ or qaḍā’.

-Imam Khamenei, Practical Laws of Islam, Importance and Conditions of Prayer