You lost me at polar ice caps flinging around.. You realize that Antarctica is a continent, not an ice cap? Also, the northern ice cap doesn't add weight to the planet, it is floating in water - it has no bearing on the stability of the world, therefore.. At most it would bob around in the water and cause tsunamis. It is at the north pole because it's freakin' COLD there, not because of centrifuge forces.

Anyway the sort of short cycle event you are describing would certainly leave clear and obvious layered trails in the ground layers, of which there is no evidence of.

Thank you for bringing an interesting DOOM thread to GLP! There is no need to fear this narrative, though.