This paper POEM: Proof-of-Entropy-Minima (https://arxiv.org/abs/2303.04305) was just published to arxiv.  It seems like a much better way to measure the heaviest chain tip as well as minimize time to resolve orphans.  It can instantaneously resolve 67% of orphans rather than having to wait for the next block.  Additionally, it seems to have better finalization time guarantees for a given hash.  Also, it has an equation that relates to finalization that would create objective measurable preference between different hash functions.