Disinformation is a terrible thing. Just because we do not understand a thing doesn't mean it does not exist. Sometimes it doesn't but in the case of record weight there is a theoretical difference.
The idea is the same thing that causes you to clamp a LP to a playing surface or pay extra money for a peripheral ring weight. You couple the LP to a playing surface to help eliminate surface vibrations on the LP playing surface. That is supposed to effect the imaging but there are some gotchas.
Your rig has to high enough quality to make a difference...first. If you cannot tell the difference between a high quality japanese pressing of a great recorded LP and the same LP from a record club then the whole subject is lost on you.
If you can tell the difference then the heavier vinyl is supposed to surpress those surface vibrations that muck up imaging. The mass of the vinyl is harder to get vibrating. The same theory is put to the test on high mass plinths.
The coupling of the LP to the playing surface mentioned above is an attempt to use the mass of the platter coupled to the mass of the vinyl to try and make one rigid playing mass. A lot of people pay good money for record clamps, the aforementioned weight rings and some have vacuum hold platters to do the same thing using that approach.
I have to add something here. The UHQR wasn't an attempt to get more shipping. I apologize for offending the poster who wrote that...but that is just plain stupid. It was, and still is, the all out assault on the best quality pressing possible using vinyl as a medium. Many record companies who care have tried the same and record collectors recognize and value pressings of such quality.
The Classic Records 200gm SVP profile LPs took a page from UHQRs and used the flat profile and very heavy vinyl to attempt the same sort of quality. The profile of the LP was also an attempt to maximize imaging. Normal LPs are actually a downhill slope where careful azimuth adjustments are somewhat mitigated. Azimuth is important to guess what...imaging.
Other LPs have used heavy weight vinyl and a relatively flat profile. This is not rocket science and well understood. The UHQR used all of this plus a 2.5 minute pressing cycle on specially setup dedicated presses at JVC/Japan all on JVC's Super Vinyl. They aren't bad.
OK, back to our program...the flat profile eliminates the sloped playing surface, the azimuth adjustment is constant across the playing surface and maximizes the imaging. If you have the flat surface, with constant relative azimuth and a mass high enough that surface vibrations are mitigated you have done all you can to maximize your imaging.
If you don't care about quality imaging that's OK. JaS sorry if I get a little scratchy when I read stupidity. There is way too much of it on both sides of the Atlantic.
Ed

