Snap oversteer happens when you're pushing the car to the limit around a turn, the suspension binds (because of the poly) and since it can no longer move, sends the tail end of the car swinging around on you in a "snap".
A converging 4-link rear already has binding built into it, however they rubber bushings help fight this, or at least make it tolerable do to their elasticity. Once you take those out of the system and replace them with something of a much harder durometer, you now have issues.
Now, if you place a greaseable spherical joint on the frame side, then poly bushings on the rear end side have very little affect. They give you the range of motion you need back in the system.
For a drag only, straight line car you can probably get away with all poly but for a street car or anything you want to go around a corner at a reasonable speed, I wouldn't use them.
I had the complete Hotchkis rear suspension setup years and years ago and it was terrible. Two of the things they did wrong on that setup is to install poly bushings everywhere AND completely box the upper rear control arms. There was virtually zero compliance in that rear suspension. It road rough on the street and would snap oversteer at autocross events extremely easily.