Are the names of Paradise mentioned in the Quran names for the levels of Paradise?

Paradise consists of many gardens (Jannāt) and multiple degrees. Ibn al-Qayyim preferred the view that the names mentioned for it, such as "al-Ḥusnā, 'Adn, and al-Ma'wā," are descriptions of a single Paradise, and not different ones. Al-Manāwī stated that "al-Jannah" is a name for the entire abode of reward and encompasses many gardens, arranged according to the desert of the doers. Ibn al-Qayyim mentioned that Paradise has seventeen names, including: Dār al-Salām (Abode of Peace), Dār al-Khuld (Abode of Eternity), Jannat al-Ma'wā (Garden of Refuge), Jannat 'Adn (Garden of Eden), and al-Firdaws (Paradise). Al-Shawkānī mentioned that "Jannāt" refers to orchards, and they are so named because their trees conceal what is within them. It is a name for the entire abode of reward and includes many gardens.