Just curious but does that mean if I want a Szamboti cue but cant afford one I can just by a Szamboti shaft to put on my Lucky butt and it will just play like a real Szamboti????
Depends on what you mean by "play". Pocket the ball as easily, yes. Have the same balance, hit feel, and make you feel all nice and fuzzy that you own one, no. There is nothing past the joint of the shaft that will help anyone pocket a ball or enable it to move in any way different outside of what the person can do with it. Sure, a super light or heavy butt will have an effect on the stoke, but given a similar enough build, the butt makes no difference in the performance. Having a $40,000 custom interior or paint in a Ferrari won't make it corner or accelerate any faster than a cheaper version of the same car model, same thing goes for the cue butt. It may feel nicer, but it won't pocket the balls any better with the same shaft.
However, the term "how a cue plays" is probably thought by most to be a combination of deflection, the action it gets on the cueball, hit feel, construction quality, taper and diameter of the shaft and butt, and balance all combined into what one would feel was a good thing to have.
Having a cue from a well-known maker is as much for the art and cachet as anything else. I have played with some cues in the multi-thousand-dollar range that I don't like how the hit was as much as my $75 Lucky cue with its stock shaft that I used as my travel cue. The cue in my avatar is from Arthur, was ivory inlays, joint and ferrule, all highly sought after things. I played with it for maybe a few months before trading it for something else, did not like how it hit and moved the cueball much at all. Still liked having it to have it.