Will the use of subsampling help reach incredible TPS speeds and finality?

I wonder if this is what will help scale blockchain up to the next level. AVA is using two key innovations that make repeated sub-sampling a perfect method to speed up consensus without compromises. One is in the insight that the random sampling + sub-sampling can be applied to consensus in permissionless systems. The second one, is mathematical proof that it works in such systems.
https://medium.com/avalabs/ava-is-scalable-sampling-3adc2601bfa6

Thoughts?

submitted by /u/CoreyGilligan
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