Does the ruling prohibiting the rental of a stud animal for the purpose of fertilizing females apply to the process of artificial insemination that involves selling semen?

Scholars have differed on the ruling regarding the sale of a stallion's semen and its breeding services, with opinions ranging from permissibility to disfavor (karahah) and prohibition. The scenarios mentioned in the question, such as selling a stallion's semen, are free from the defects of gharar (excessive uncertainty) and jahalah (ignorance), and thus their sale and acquisition are permissible. The more preferable opinion, however, is that it is disliked (makrooh), due to the Prophet's (peace be upon him) prohibition of the earnings of a cupper, the price of a dog, and the semen of a stallion. This indicates a dislike for taking a fee for it, even if taking a fee for it is permissible, just as the Prophet (peace be upon him) gave a cupper his fee. It might be argued that what is taken is not a price for the semen itself, but rather a fee for the accompanying services of collecting, preserving, and injecting it.