Steve - I wonder if you have drawn a conclusion about the "hanson_lx_tenor" as far as country of origin (if I missed this, please excuse, I have to get to 5 different pressing things that won't be resolved for weeks, even if I stay on them every second).
The rod screw issue you detailed (the normal vs weird threads segment) and pillar fit parts are very handy for explaining to people the difference between Taiwan vs PRC manufacturing. I would guess that what happened with the freaky rodscrew is that there was some type of binding or insertion (e.g. screw passing a pillar hole) issue during assembly and the assembly tech solved the problem in the way that you see in the now-bizarre screw. I would expect to see this on some PRC products, but never on any of the contemporary offerings from Taiwan majors.
I'm not trying to out the manufacturing of the product, just to underline something re PRC vs Taiwan that often takes a lot of explaining and that segment of your review is very handy for illuminating it. You would likely never know or suspect that there was anything weird going on with that rodscrew, "behind the veil," by playing. But you will see a lot of weird, non-traditional (to saxophone or woodwind manufacturing) solutions to assembly issues that will come up in less fully mechanized assembly lines on PRC saxophones. Not so much on established majors (Germany, France, Japan) or Taiwan.
I have seen some really funny/bizarre things on saxophones from the factory for the Crescent. If the horns went out, they were not affecting performance in any meaningful way, but they are still on some of the horns out there. One example is a bizarre way of setting up springs that suddenly showed up on all the saxophones in one shipment after I complimented the assembly of one horn I received in particular. They apparently listened to me and asked themselves "what is different about this one?" and thought a single freaky spring anomaly -- totally unrelated to the overall better quality of assembly -- was probably responsible for my positive feedback.
I would not be surprised if this came to your bench via BWs, back in the day (a bizarre spring-crimping practice, specifically).