Are bone spurs at the base of big toe (bottom) related to turf toe? Feel like spur needs soft cushion, but turf toe calls for hard extension. Confused

Turf toe is more of . A sprain of the ligaments around that joint. Spurring around the joint is something that develops gradually over time and reduce the available range of motion of the joint. At some point in time, spurs need to be removed surgically before more damage is done to the interior of the joint. Turf toe is an acute injury that takes time and protection to heal.
No. Turf toe is a hyper-extended great toe. Hard extension helps. A spur may feel better by off loading or a soft pad.