My experience has been that usually those old sprung suspensions and/or loosely coupled top plate mountings in old idler drives give any motor vibrations that are transmitted to the top plate nowhere to escape - it's like whatever little rumble you get, it's trapped forever in your top plate, trying to escape through your cartridge and speakers one 50Hz sine wave at a time

Just clamping down the transport screws with the springs still in place isn't 100% same as a tightly coupled mounting, but it's usually a step in the right direction. With different idlers, I've found it's a compromise sorting out the best one. For example with my Lenco, I have two originals and one new aftermarket idler wheel for it, one of the originals was worse, but the better one is just about as good as the aftermarket replacement. It's just because of the slightly different rubber composition, one idler wheel shifts the rumble balance between fundamental and harmonics - ie. with one wheel 50Hz rumble is less than the other but 100Hz and 150 etc. are a bit higher. But both perform so well in my setup the difference is not audible.
A heavy plinth won't do magic, like with a good Lenco you can get already very good results by just resting the top plate on coke cans or whatever, it's all already there (or in the case of rumble, not there...) - all a heavy plinth does is make a good thing better. But in more marginal cases, a good plinth can mean the difference between inaudible and barely audible, or barely audible and slightly annoying etc.

The direct coupling without any springs or mushy rubber pieces between the top plate and plinth can be a huge upgrade, depending on the turntable and condition.
EDIT: just to add, when experimenting with these things, I didn't wing it, I listened, recorded and analyzed, right down to some minute details as how many screws the top plate was fastened with and where exactly the screws were situated. I don't have much answers, but what I did learn was that there are a huge amount of questions...