That Zero mission suit was not the Varia suit. That's the starting suit you have before getting the Varia suit. It's the same suit you downgrade to in the beginning of Prime after the explosion.No, it's a brand new design, some of the designs the varia suit went through the years:
From left to right: super, prime, zero mission, other m, smash 4 (based on other m).
Varia suit in that game was more like gravity suit from that game but in red & yellow:
This is the closest I could find to an official rendering of it. It's actually not far off from her Prime design.