Why was the Mosque of the Two Qiblas named as such, even though the story of the change of Qibla occurred in Quba, according to the hadiths of Al-Bukhari and Muslim?

The Mosque of Banu Salama was named the Mosque of the Two Qiblas because the revelation to change the qibla descended upon the Messenger of Allah, peace and blessings be upon him, within it. He had prayed two rak'ahs of Dhuhr prayer facing Jerusalem, then he was commanded to turn towards the Kaaba while he was bowing in the second rak'ah. So, he turned, and the rows behind him turned with him, and thus the mosque was named. As for the people of Quba, the news did not reach them until the following day during Fajr prayer, so they turned towards the Kaaba.