Because the writings of Sabellius were destroyed it is hard to know if he did actually believe in Patripassianism but one early version of the Apostles' Creed, recorded by Rufinus, explicitly states that the Father is 'impassible.'
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Patripassianism was referred to as a belief ascribed to those following Sabellianism, after its founder Sabellius, especially by the chief opponent Tertullian.
It could not be said that Christ as God Incarnate died for this theory was condemned as Patripassionism, and Theopassionism, as it was taught by Sabellius because it required the Father to suffer equally with the Son since the Trinity is God.