When an aircraft is moving, it has mometum that tries to keep it going. Think that the cg has all that momentum and it will try to pull forward if anything tries to slow down the aircraft. Then think the center of lift as a point where the air resistance tries to slow or pull back the aircraft. Now you shoud see that if you apply those pulls, the aircraft will always end up cg beeing forward of center of lift.
There are also aerodynamic forces in play that try to keep the pointy end going first and that's why stability is slowly getting worse with cg moving aft instead of momentarily flip when cg moves behind center of lift.