Does completing a GeoW on hardcore unlock the acheivements for easy too?

[Mistershine]

I known that in tomb raider legend if you complete it on hard you get about 500gp in one hit (hard, normal and easy+final level), but other games need to be completed seperately. I only started hc after I finished easy, as it was the first dual analogue shooter I played without ETM files to help me.