A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Örjan Sandström
Date: 2019 Mar 15, 02:03 -0700
Uhm, for me when sun rises in mid winter it is roughly 20° east or west of my south (65°N), that means it is never even close to ever being east or west of me.
there are some stars with declination close to equator (Mintaka) that get close to your statement though