Providing an escape hatch for txs to be mined outside of policy, eg RSK’s recovery txs, and to provide a way for pool members to support off-chain tx acceleration without requiring a central coordinator. (Perhaps it would be possible to do off-chain acceleration by revoking unredeemed pool shares though?)
If Braidpool were to be successful (>30% hashrate?), I’d expect bitcoin core’s relay policy to match braidpool’s (well, probably with a larger backlog) to minimise divergence between actual blocks and expected blocks (ref).