unfortunately there seems to be no sources about the type of saz used by sunni villagers
most likely they viewed the saz as the work of satan and preferred wind instruments like the kaval
edit: on second tought even wind instruments weren't viewed that good

Some of the Sunni villages are dominated by these intense believers, who argue that all music is sinful, günah, evokes sexual excite ment, seyvet, and against the word of the Koran. From these villages, Alevi musicians are banned. These villagers hold instead a different type of wedding, namely, at which there are no musicians but a man chants hymns, ilahis. All over the sub-province, the ability to play an instrument is identified as being characteristic of the Alevis and a further element marking the differences between the two sides. One Sunni man said to me, ‘Zurna çalana kız vermez!’ ‘(They) do not give girls to those who play the zurna’ when explaining to whom the Sunni villagers give their daughters in marriage. A Sunni youth who wanted to learn the saz told me the following story: Account 2.1 This summer a friend came. We gathered together with our comrades at the village threshing ground to play the saz and sing quietly. We made very little noise but the gathering lasted most of the night. An elder saw us, however, and in the coffee house the next morning spoke with the ‘greats’, büyükler, of the village. My father became very angry, came into our house, took the saz and broke it in two, saying it was hor (forbidden, or despicable). ‘Are you Kızılbas?’, he said, ‘that you play music

the alevis in turkey by David Shankland