@James — thanks for the explanation. Actually, something pretty funny happened. Was walking up the stairs with one of these lamps (Westinghouse H39KB-175) and the lamp, plus its sleeve, rolled down carpeted stairs in what I could only describe in slow motion. Well, lo and behold, it no longer rattles! Not a sound when I whack it from any side.
Though, I would say the arc tube is now about 1-2° off center in the vertical axis, though I guess that's the price I paid for no rattling.

And also interesting that GE engineers claimed that they could identify which company made what lamp based on sound alone. Which is also interesting because very few, if any, of my USA-made GE lamps rattle or vibrate. Made in Hungary/China, however? Different story.
Also, those GE engineers must've sat in a circle one day and laughed hysterically at the failure that was Philips' transition to ED-shaped lamps! Because every single one that I have rattles to no end, and loudly at that.