The observation of E. Kulakov is correct… but it seems that you wanted to know the next:
I want to know if there is a difference between rock characteristics of the same compositions formed in identical environments in other magnetism condition of the Earth.
My response yes. in case of such minerals which containing such minerals which containing Fe, Co, Ni, Gd, Ho, Tb, Dy…
The interesting thing that if you know the paleo-magnetic environment you can conclude to the condition of genesis.