Bullet weight only indirectly influences stability with any given twist, the length of the bullet is what matters. The longer the bearing surface of a bullet of any given weight and diameter, the shorter the bullet will be. Consider a full wadcutter bullet which is essentially a lead cylinder, and is as short as a bullet of any given diameter and weight can be. A tapered nose as in the case of a jacketed round nose will result in a bullet that's a bit longer, a boat-tail increases the length more, the combination of a boat-tail and a secant nose section with a short bearing surface length results in a very long bullet but not so long as a bullet of the same diameter, style and shape, but made from a mono-metal rather than a copper jacketed lead alloy. So does weight play a part in stability, yes it does, but bullet style is critical. Your .223 will probably shoot a 70 gr Speer semi spitzer very well, but unless the twist is quick it won't stabilize a 70 gr VLD.