The Slaughtered Animals of the Jabrīyah and the Mushabbihah

Answer – and Allah is the One who grants success: The position of the madhhab is that their slaughtered animals are forbidden, as in al-Sharḥ. Al-Amīr al-Ḥusayn ibn Badr al-Dīn, May Allah have mercy on him, chose the view that their slaughtered animals are lawful, treating them by analogy as People of the Book with regard to the permissibility of their slaughter.
I say: It may be argued for that view by the fact that it has not been narrated from the Prophet, May Allah bless him and his family and grant them peace, nor from any of the Companions that they avoided the slaughtered animals of the hypocrites, despite their great number in his time, May Allah bless him and his family and grant them peace.
It may also be supported by analogical reasoning with the slaughtered animal of the openly sinful person (al-fāsiq).
Moreover, what appears is that considering the soundness of the religion of the one who performs the slaughter (al-mudhakkī) is a matter in which leniency is appropriate, because, according to one opinion, the slaughtered animals of the People of the Book are lawful; likewise, the slaughtered animals of idolaters become lawful when taken as war booty; and the slaughtered animal of the fāsiq and the hypocrite is also lawful.

Source: Min Thimār al-ʿIlm wa al-Ḥikmah vol.2