Sota Sapphire and Isolation?

ABSOLUTELY NOT! The Sapphire is an extremely stable turntable. All it needs is a sturdy shelf, nothing more. You will make it very difficult to use if you try placing it on an isolation platform. 

I own a Cosmos now and ran a Sapphire for 40 years. 

While it is impossible for us to know what the complex interactions will be, the odds favor a bad reaction to putting a sprung table on a sprung platform.  Even a slightly compliant platform, like the Ginko platform may be a negative, but, one can only know by trying it.  There are two basic concerns.  Obviously, the resulting sound is very important, but, the other concern is susceptibility to footfall issues.  Sometimes, suspended tables are more susceptible if the sharp impulse from footfall causes the spring suspension to bounce wildly.  This is most often a problem with what I consider lightly sprung tables that move up and down when only light pressure is applied to the plinth or platter (e.g. some JA Michell tables).  More stiffly sprung tables are less susceptible (e.g., the Basis Debut that I own).   The SOTA Sapphire is sort of medium stiffly sprung. If you don't have footfall issues, my bet would be that it will sound best on a very rigid platform which lets the suspension do what it is designed to do.  

Thank you, Mike and Larry.

Quick update: I set up the Sapphire today. It sounds pretty damn killer just sitting on the shelf. I'm blown away by the sound stage, particularly the placement of instruments/voices. It seems just right. This is only a few albums in. Luckily, my wife is out of town this weekend. I foresee a lot vinyl in the next couple days. 

Congrats!