Is the phrase "ʻaqd qirān" (marriage contract) correct instead of "ʻaqd az-zawāj" (marriage contract)?

A legitimate marriage contract has conditions and pillars, among which is the صيغة (formula) that requires offer and acceptance, such as the words "tazweej" (marriage), "inkaah" (giving in marriage), and "tamleek" (transfer of ownership), and any word that indicates permanence for life. If custom dictates that the word "qiraan" (conjunction/union) refers to marriage, then there is no sharia impediment to it, although it is preferable to adhere to the sharia terms mentioned in the Quran and Sunnah, such as "zawwajnakaha" (We have married her to you), "ankahaka" (He has married you), and "mallaktaha bima ma'aka min al-Qur'an" (You have taken possession of her with what you have of the Quran). As for the phrase "aqd qiraan" (contract of conjunction) intending "al-milka" (the marriage ceremony/possession), there is no harm in it.