the 1% the petition is talking about is global, as well as the ownership claims, and the CO2 pollution claim.
it's worded a bit oddly, but they want to tax the "global 1%", not (just) the "EU 1%".
as you pointed out, there's a pretty big difference between the two.
since the initiatives goals are largely about climate change, which is obviously a global problem in need of global solutions, this framing makes sense. it could have been written a bit clearer...