When Earth is closest to the Sun the northern hemisphere is in winter given the effects of precision will this still be the case in 13000 years?

Yes, even in 13,000 years, the northern hemisphere will still experience winter when Earth is closest to the Sun, primarily due to the axial tilt of the Earth. However, the seasonal timing will shift slightly due to precession, which alters the orientation of Earth's axis over long periods. This means that the closest approach to the Sun (perihelion) will occur during a different season than it currently does, but the fundamental relationship between Earth's position and seasonal climate will remain intact.