The Tierney article said that the higher CO2 plus other feedbacks was sufficient to make a model look like the Pliocene, not that it would change the world into the Pliocene. You have to understand that the Pliocene deep ocean was about 2°C warmer than modern, a huge heat reservoir. There will be several hundred years needed to warm the deep ocean by that extent. If the ocean warms faster then the surface is kept more temperate.
There is inertia caused by the arrow of time--warm to cool is not the same is cool to warm.