In sum, the narrators differed from Ibn Abi Fudayk regarding the chain of transmission of this hadith. Most of them narrated it from him, from al-Dahhak ibn ʿUthman, from Muhammad ibn al-Munkadir, from ʿAbd al-Rahman ibn Yarbuʿ, from Abu Bakr. The narrators in this chain are trustworthy and are among Muslim’s narrators, but it is interrupted, because Ibn al-Munkadir did not hear from Ibn Yarbuʿ, as has preceded in al-Tirmidhi’s comments. And Allah knows best.
I then found a corroborating report for it. Abu Yaʿla said in his Musnad (3/1260–1261): Abu Hashim al-Rifaʿi narrated to us; Abu Usamah informed us; Abu Hanifah informed us, from Qays ibn Muslim, from Tariq ibn Shihab, from ʿAbd Allah, who said: The Messenger of Allah, peace and blessings be upon him, said—then he cited it, adding: “Loudly proclaiming means the talbiyah, and shedding sacrificial blood means slaughtering the sacrificial camels.”
This chain consists of trustworthy narrators used by Muslim, although al-Rifaʿi—whose name was Muhammad ibn Yazid ibn Muhammad—has some weakness. Abu Hanifah is the exception, for the majority of hadith scholars have deemed him weak; yet he has not been accused of dishonesty, so the hadith is good. And Allah knows best.