Visually, yes, they look the same (or with slight variations for the angle). The method of construction is different.
In the traditional pieced Square Dance block (I've called it the Windmill block), you are sewing the 4 patches together to make each block.
With the Twister template/ruler, you sew the plain fabric squares together, and then cut out the blocks where they intersect (which will automatically give you the 4 patches).
eta: Of course, any pattern maker/teacher/book can use any name they want. ;-)