Theres no way Allen should survive a losing season, much less 4-13. That would put him at 19-51. Theres just no way he survives that. He chose to keep Carmichael after he drastically underperformed. That falls on him too.
He has no excuses. Loomis went and got him the best FA QB available. He is kicking the can down the road further to give Allen his fair shake. This is it for DA. Division or bust.