I'm not sure we are saying the same thing on stick out (material outboard of chuck jaws). The main reason its keep under say 3X diameter is material deflection. If you take a perfectly parallel cut on a long stickout bar with carriage locked, it will measure larger diameter on the outboard end than near the chuck end. Why? Because the cutting tool pressure is deflecting the bar so its not taking full DOC. Near the chuck, deflection is less so it will be closer to DOC & therefore target diameter. Think a cantilever beam with a weight on the end. The longer the beam or larger the weight, the more deflection. That's why we do spring passes & lighten the DOC during finishing. Same deal for boring, this time the boring bar is the deflecting beam. The softer the material, the worse the deflection will be. That's why I think the 2-3X is a rule of thumb based on steel. If you put the same size piece of plastic, it will deflect much more. So less stiff materials need to be choked up more or better yet between centers.
Now what is INSIDE the chuck jaws is important too. Maybe that's called STICK IN Haha. If we don't have sufficient jaw gripping contact area on the bar, it may loosen & bad things happen. Why? Because the same cutting pressure on the outboard end of the bar acts like a lever & wants to pivot the stock about the jaws. I've never seen a guidance on chuck side like like grip length = 1X diameter or whatever, because I think it depends on other variables - how much grip pressure the jaws can apply, DOC & conventional stickout. I know its real though, sometimes you have to go to a 4J to get another jaws worth of contact area. If the stock spins in the jaws that's bad. If it spins & completely looses its grip, that's much worse.