I agree, those "cones" should be for keeping the springs aligned.
Even with the mushroom/barrel pins, the fact that they are so nicely rounded
at the shear line should make this one pretty easy once you determine the feel
difference between false set and sheer(sharp edge/counter rotation VS smooth transition).

What is the best way to educate the masses? ... " A television in every home."
What is the best way to control the masses? ... " A television in every room."
From "Charlie" AKA " Flowers for Algernon"