As I understand it, the Pleistocene ice ages were dictated by three major factors suggested by the Serbian geophysicist Milutin Milankovitch--eccentricity (orbital shape), obliquity (axial tilt) and precession (direction of rotation in relation to fixed stars).
The one identical factor between our Earth and this alternate Earth is the eccentricity--no lower than 0.000055 and no higher than 0.0679 over a period of 100,000 years.
Back home, Earth's axial tilt varies between 22.1 and 24.5 degrees in a period of 41,000 years. In this alternate Earth, the tilt varies between 20 and 25 degrees in a period of 61,500 years.
Back home, Polaris will be the North Star for a total length of roughly 26,000 years. In this alternate Earth, Alioth in the Big Dipper will be the North Star for a total length of 46,800 years.
With these changes, how would Earth's climate been different? How would these changes affect the extents of the ice ages?