Some of the cards have powers that apply to a greyed out world with a hand holding a colored card, and in the bottom right it will use the expression "this world".The "gray world" being the background of a "hand holding card" icon is there for emphasis. Specifically, Rebel Symp only produces with special powers since it doesn't produce normally being a windfall world.
I don't understand how this is any different from the powers applying to "specific" worlds.
For example the production power on Rebel Sympathizers as opposed to Galactic Studios.
NOTE that when you first settle Rebel Sympathizer, you do NOT get a card b/c that world technically comes with a good. Plus, the power that lets you draw a card would've been indicated in the "III" power as well.