According to the Hadith in Sahih Muslim, must the Muslim use scented musk or may he use an unscented anointing oil, like the Jews and the Christians?

All praise be to Allah, and may His peace and blessings be on the greatest messenger, Muhammad.
A Muslim does not have to use any oil, scented or unscented for the prayer. The use of oil is different from other religions. We use scented oil at any time for its good smell, not for the blessings of the oil and not as a mystic or ritual practice. It is simply an etiquette related to grooming and beautification.
In this case, a Muslim who does not have perfumes, cannot use them, or does not want to use them may pray without any oil.
If he puts on unscented oil to imitate others and/or thinking it is a virtuous practice, then he would have combined two sins, the imitation of non-Muslims in religious matters and innovation.
Allah knows best.