Abilities » Cursed Eyes
If I use Absol's "Cursed Eyes" Ability to move three damage counters from one of my opponent's Pokemon to another, what happens if I choose a Pokemon with the "Theta Stop" Ancient Trait?
Since Theta Stop prevents all effects of Abilities done by your Pokemon, if you choose to move the damage counters to a Pokemon with Theta Stop the damage counters would be discarded rather than moved onto that Pokemon. However, if you choose a Pokemon with Theta Stop as the source of where the damage counters would be moved from, they simply are not moved and the Cursed Eyes ability stops there.
Source: TPCi Rules Team (2015-09-03), TPCi Rules Team (2015-09-24)
Abilities » Cursed Eyes
If my opponent has a Pokémon with only 2 damage counters on it, can I still use Absol-EX's "Cursed Eyes" Poké-POWER on it?
Yes, you can. If you use this power, you move the 2 damage counters to another one of your opponent's Pokémon.
Source: Power Keepers FAQ (2007-02-01), PUI Rules Team (2007-02-01)
Abilities » Cursed Eyes
If my opponent has more than one Pokémon with damage on it, can I use Absol-EX's "Cursed Eyes" Poké-POWER on one that has less than 3 damage counters even if they have another Pokémon with 3 or more damage counters on it?
You may choose to use Absol-EX's power against any Pokémon with damage counters, but if it has less than three you would move all of the damage counters off of it.
Source: PUI Rules Team (2007-02-01)
Abilities » Cursed Eyes
When using Absol-EX's "Cursed Eyes", do I have to move all three counters or can I choose to move less than three (like if I only need to move one counter to KO another Pokémon and wished to leave the other two where they are)?
You must move 3 from that Pokémon if there are 3 that can be moved.
Source: Power Keepers FAQ (2007-02-01), PUI Rules Team (2007-02-01)