Zombie Magneto vs. Wasp: Founding Avenger

Situation: I field a (Zombie) Magneto: Magnetic Monster. My opponent has a Wasp: Founding Avenger card (purchase cost: 3).
While Magneto is active, Wasp will lose her ability to do me damage when I use a Global Ability. Am I (or is my opponent) still able to use the Global Ability on her card, or is that lost as well?
Relevant card texts:
Zombie Magneto: Magnetic Monster
Wasp: Founding Avenger
Thank you very much!
While Magneto is active, Wasp will lose her ability to do me damage when I use a Global Ability. Am I (or is my opponent) still able to use the Global Ability on her card, or is that lost as well?
Relevant card texts:
Zombie Magneto: Magnetic Monster
Zombie - when fielded, KO all non-{Zombie} Magnetos.
While active, opposing characters with Purchase Cost 3 or lower lose their abilities. Professor X can't be fielded.
Wasp: Founding Avenger
While Wasp is active, when your opponent uses a Global Ability, she deals them 1 damage.
Global: Once per turn, you may pay 2. Deal 1 damage to a character or player.
Thank you very much!