Oprhans reduce the effective security of the network. Any hashpower spent on orphaned blocks is essentially wasted, reducing the potential cost to an attacker. As an example a network with 100 TH and 10% orphan rate can be 51% attacked with only 90 TH/s.
The orphan cost is the cost to the miner to add one more tx to the block. A shorter block interval increases that cost. If the compensation for the miner is less than the orphan cost then it doesn't make direct economic sense for the miner to include the transactions. Miners may include the transaction "anyways" to support the network but we should be aware of the risk of designing a system which requires miners to accept a reduction in reward to "help the network".
It is possible that the benefits outweigh the cost but those are the downsides. I think achieving a consensus is pretty much impossible but improving the efficiency of the protocol should be done first. Any change should likely be small (2 to 6 minutes as target). I would need to see a lot of solid modeling on a robust test net simulation to be convinced it is viable.
Thank you, that is very helpful.