Permissibility of going to al-Madinah and then entering the state of ihram from the miqat of the people of al-Madinah

A man came from Jeddah and did not enter the state of ihram. First, he went to al-Madinah al-Munawwarah to visit the Prophet’s Mosque, and then he entered the state of ihram from the miqat of the people of al-Madinah. Is this correct?
There is nothing wrong with that,Meaning: If a person comes from his country intending to go to al-Madinah first, stops in Jeddah, then travels from Jeddah to al-Madinah, and then returns from al-Madinah having entered the state of ihram from the miqat of the people of al-Madinah, there is nothing wrong with that.