"Same position in space" isn't well-defined anyway. There's no fixed set of coordinates permeating the entire universe. But it's clear enough what is meant in this case.

I wonder, though, it should be in the same position in the sky, right (after accounting for the Earth not necessarily being in sync with regard to its rotation)?

I'm not sure what you mean "after accounting for the Earth not necessarily being in sync"; since it isn't in sync it won't be in the same position. But if you were viewing it from the centre of the Sun, then yes, it would be in the same position in the sky.