I see what you are saying regarding the amount of land mass exposed depending on axis change, but I think its got less to do with land, and more to do with water... considering 75% of the surface is the cold blue stuff.
More specifically, its the small changes in the water temperature that can affect the weather on the land masses.... purely because so much of the surface is water not land. You don't need to be a scientist to see how the "conveyor belt" works in the Atlantic, keeping Western Europe very warm compared to other land masses at the same latitude. That sucker closes down, and BAMM.... Ice Age for Europe, and consequently the rest of the planet.
But to respond to your original question, no. I dont think small changes in the earth's axis directly affects earth falling in another Ice Age. Maybe pole reversal and the earth's magnetic field could have something to do with it, but who really knows?
I think the cycle is more local. I dont think axis changes on their own can by themselves bring on an Ice Age. Certainly it affects weather world wide but not in a sudden catastrophic sense. Even without human interference there's a normal cycle on Earth involving trees and their carbon sinking potential.... which isn't unlimited as most people think. It's just a natural "cleansing cycle". Ice Ages are necessary to wipe the slate clean and start over. As "Creator" how else would you get rid of 3billion+ people too many
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