Warp Stabilizer - PP or Ae?

I have always been wondering if all CS6 products share the same render engine.

To be more specific, will I obtain the same results if I use Warp Stabilizer in Premiere Pro and AE?

I am about to render a short r3d 4K media, and I would like to achieve the best possible results with Warp.

Therefore I have been trying to choose between AE or Premiere, asking myself if there will be any visible difference between the two outcomes.

Thanks