"Yes" and "I don't know"
"Yes" I think so if difficulty adjusted every block, and "I don't know" (nor do I want to know) anything about LCC

From previous edit not sure you saw...
Edit:....So it clicked in my head on my hangup. If rest of world shut off, then we would never throw work away. Every block we try to crack and dont crack, that is wasted hashpower. So if we have no competition, every hash and all the work we send to the block will result in a block. Right now we only have a very small percentage of actual work that results in a block. How could that not speed up block generation over expected?