If the Note 3 uses the revised Exynos 5 Octa which has the bug fixed, it will have monster specs.
However, my Note II already runs just fine for me and I don't see myself upgrading to the Note 3 unless magic happens and game developers all flock to Android. Because really the super-GPUs they are putting into the 2013 Android devices are all there to look good for benchmarks and otherwise go to waste because there aren't any Android games which really push the graphics envelope.
I'm honestly more interested in upgrading my tablet in 2013, the new crop of 10" tablets with 2560x1600 screens should be coming along late this year (Asus Transformer Pad Infinity refresh, Nexus 10 refresh, Amazon Kindle HD refresh) and if they are all packing Cortex-A15 or Snapdragon 800 at high clock rates, I'll finally realize my dream of playing back 10-bit H.264 1080p mkvs on my tablet.