Very good question.Surely, if the suspension was good enough the tables, footers and plinths wouldn't make a difference?
To start with consider that the suspension on the LP12 was designed fifty years ago and is essentially unchanged. The springs have been changed once and that was just grinding the ends flat so that they were less likely to rotate on their own. Apart from that, fifty years old. That means before computer modeling and most of the test equipment modern designers take for granted.
I think the designers of the LP12, Castle Engineering, were good engineers but the bottom line is that the suspension was guesswork, trial and error and they got lucky. Whatever they thought it was doing, it happened to sound good and they had no means of understanding why. Other suspended turntables are much better at isolating from foot-fall, the AR Turntable for instance, but they don't sound as good and still don't fully isolate the deck from what it sits on.
Every turntable I've ever owned or used has been sensitive to what it sits on, whatever the claims to the contrary. I simply don't think it's possible to reduce the transmission of energy into and out of a turntable to zero and, due to the huge level of signal amplification, even slight changes are audible.