Q: Can the Doctor cure a holographic projection of a Keeper with Brain Parasites?

A: The Holographic Projector duplicates any one Keeper on the table, complete with any modifying Creeper effects, so it’s as if that Keeper were in front of you, afflicted with it’s Creeper, however, the Doctor cannot cure a Holographic Projection of something – the card clearly states that the Doctor can only cure your own Keepers.