That aspect sounds like an opening description for mine, but then after that you seem to diverge from my design.
I haven't yet fully evaluated your idea, because my mind is off on Streemit's design issues at the moment.
Well, I believe proof of burn is the most powerful underutilized tool in cryptocurrency. If you use proof of burn with the actual currency itself, you usually destroy the economic system in some manner. You either have to make the money supply more inflationary than what is burned just to be safe so the supply doesn't go to nothing, or implement an actual central bank in the coin that monitors the supply on the fly and alters it. Both of those options are not good in my opinion. However, if you split the protocol into two different coins, each with a different purpose, you can then burn the one that isn't used as a currency and solve some problems without affecting the economic system.
I've shown this system to a lot of people so far and nobody has been able to find any drawbacks to it over regular Bitcoin. McElrath claimed it was prone to DOS attack, but I fail to see how this system has a larger attack surface than Bitcoin. If you had 1001 block validators for instance and they're locked in for a 1 month time period, but the landscape of block validators changes a lot each month since you have to burn the mined coins to become one, how could that possibly be a bigger attack surface than Bitcoin where the amount of pools is very small, everyone knows who they are, and no coins are burned to become one so they change less.
I'm not trying to create the perfect system here, just one that improves on Bitcoin without having any serious drawbacks compared to the current one. If you get much higher TPS and all the claimed negatives like McElrath's example are trivial at best, then that would be a victory to me.