So, stringing it all together, forward CG requires the horizontal stab to generate increased down force (counter the nose down rotational force). The increased horizontal stab down force must be carried by the wing via increased wing AOA, which generates increased induced drag, which slows the aircraft. Move the CG aft and the horizontal stab down force required decreases, which means less weight carried by the wing, which allows flight at reduced AOA, which generates less induced drag, which allows the aircraft to fly faster.
Stall recovery improving with forward CG is based on the same reasoning. Breaking a stall requires lowering the wing AOA. As the CG is moved more forward relative to the center of lift the increasing nose down rotational force (again, think moment-arm) will assist reducing the pitch (and hence the wing AOA).