most of the ahadiths quoted in nisae,tirmizi and other sunni books are either "Gharib" khabre wahid (it means the hadiths wid the one source narrator) beside one or more narrators are rafzi in the chain of narrations in the ahadith being quoted here.
keeping in view the fact one of the basic principle of Hadith narration
"muhaddassin do not take the hadith of a person as an authentic one who 2nd his particulars aqeedah like rafzi and qadri. so in case ne hadith in relation to shan e ahle bait chain of narration of the hadith would be considered authentic only if the narrators are well known to be non shia.
and this the case here. many hadiths narrated in the sunni books refered above are either falls in the category of "Hasan" & "Gharib". and specially imam tirmizi has mentioned hundred of hadith with such Caveats of Hasan" & "Gharib".
so we cant make make ne conclusion without considering those caveats and comments of muhaddisin about the chain of narration.
*for detailed please refer to *
*Part iv of Mazhabib dastain aur unki haqeeqat *
*By *
*Mulana Habib Ur Rehman Kandhalvi *
*(the book is i think available in SBP Library karachi ) *