Brother, this narration is Shadh, which is basically a type of weak narration. Why don't you quote in full what sheikh Tusi had to say about this narration?
Perhaps it would be better if we would give a proper definition of the term. A shaadh hadith has been explained as: What is narrated by a trustworthy narrator that goes against the narrations of the majority, and it was called shaadh because it is the opposite of mashhoor (popular).
Another explanation is: Our Fuqaha’ refer to shaadh narrations as those that were not applied by our sect,
even if they were authentic and didn’t conflict with other narrations. See Mu’jam Mustalahat Al-Rijal wal Diraya p. 81 where the author attributes these two opinions to ten of the most famous books of Shia hadith terminology.
The definitions are clear and do not contradict the very fact that the narration is authentic according to the science of hadith.So let's see what was the opinion of tusi as mentioned in al-istibsaar:
5 فأما ما رواه محمد بن أحمد بن يحيى عن أبي الجوزا عن الحسين بن علوان عن عمرو بن خالد عن زيد بن علي عن آبائه عن علي (عل) قال: حرم رسول الله صلى الله عليه وآله لحوم الحمر الاهلية ونكاح المتعة.
فالوجه في هذه الرواية أن نحملها على التقية لانها موافقة لمذاهب العامة والاخبار الاولة موافقة لظاهر الكتاب وإجماع الفرقة المحقة على موجبها فيجب أن يكون العمل بها دون هذه الرواية الشاذة.
[al-istibsaar, vol 3, page 551]
and for this reason in this narration, we should understand this hadith as being upon taqiyya as it is in agreement with the madhab of aama (sunnis) whereas the hadiths before are in agreement with what comes from of the Book and Ijma` of the true sect, so one must act in accordance with them, and not this “shadh” narration.
This this is not a sufficient reason for weakening the hadith. Al-Khoei said, when examining a narration about menstruation, “…even though it is acceptable in the chain, it is corresponding to the views of the ‘aama (Sunnis) and the narrator from the Imam (as) is Al-Sakuni, and he is an ‘aami, which is why the narration is seen as one that came out of taqiyyah.” See book of Tahara 6/102, via Al-Jarh wal Ta’deel ‘ind Al-Shi’a Al-Imamiyah (p. 243-244).
Of course, as we can see, the narration of muta’a was not heard by a Sunni, but by Zaid bin Ali, and by a Zaidi from him. So, the point brought up by you is irrelevant to the context of the narration.
As for the argument of Taqiyyah then we respond like we have responded in the past,
by saying that the Imam cannot have been in fear of narrating such narrations, since the scholars of Makkah like Ibn Juraij preached the permissibility of muta’ah during the time of Al-Sadiq.