What is the ruling regarding mutual rights and dues when a husband divorces his wife through Khul' (dissolution for consideration) or Muabarah (release from rights for consideration)?

Primary text

If a husband initiates Khul' or Muabarah with consideration (iwad), they revert to settling all mutual rights between them. If the dissolution occurs before consummation, the wife is entitled to half of the mahr (dower). If she had already taken the full mahr, she must return half of it. If the marriage was one where the mahr was implicitly left to the husband's discretion (mufawwadah), she is entitled to *Muta'ah* (consolation gift). This ruling is the position of 'Ata', Al-Nakha'i, Al-Zuhri, and Al-Shafi'i. The primary evidence supporting that the mahr does not lapse upon Khul' (if stated using divorce terminology) is that it is a right similar to other debts, and it should not lapse simply due to the wording of Khul' or Muabarah. Furthermore, the half-mahr due to the husband was not established before the Khul', so it is not lapsed by Muabarah, similar to the maintenance due during the waiting period ('Iddah).