If so, This will only play into the hands of those setting up data centres in the far north of the northern hemisphere (e.g. Iceland).
On-premise hardware still needs cooling, and is arguably harder to cool as there are fewer economies of scale on cooling infrastructure. Dedicated "bare-metal" machines are just in regular data centres so no difference to the cloud there.
I think data centre locations will still be chosen on two factors: distance to customers, and cost of energy. It's just that operators will be looking for cheap energy. Iceland is good because they have a lot of geothermal energy, not because it's cold.
"Oh, tanks by that foreign army are rolling into our cities - should we start thinking about a defense system?"
Global warming will affect every aspect not only of your business, but also of your life, maybe a little bit later when you are rich and can afford to live in a self-created bubble, but it will.
Yes, you should think about it. Hard. Now.