It means I am winning regardless of my G-power. If my G-power is lower than someone's it is like it is higher. That is the only way I can leave my power on zero and end my turn- normally if you do it you lose, but not if you have advantage.
So basically, if you were to skip with me on advantage and you one 650 G you'd lose 650 Life Points. (I am not very good at explanations- especially at 3 am)
Unfortunately, this is the situation. In Ability Cards' section read about Ability Breaker. It negates Ability card. My Sensor is a BakuNano, not a card and its effects do not come from the card. Therefore, you need a card that negates effects of Support Weapons or just generally negates effects of items. Unless you have negated something else and I have not noticed.