The confirmation times are sped up by the fact that most blocks only require low POW (and the minters can be preparing their difficult POW between the block where the information is sourced from and the block their POW tx needs to appear by).
Understood. Presumably you're compensating the miners for their difficulty PoW, though?
That is what I haven't decided upon yet (but in reality it is likely to be necessary to at least have some reward).
I like the idea of splitting up the POW as you suggest into a low and heavy one.
Would that mean that in general the wallets do the low one, but at very high speed by only collecting txs in some local range and form preBlocks. Than the havey ones Asic likes come in and collects + verifys the preBlocks into some final blocks, and all together low and heavy share some reward if all is done correct?