I think the confusion may arise from this concept of 'entropy density'?
To compare density levels, we need to look at a specific volume or amount of matter (recall the units of entropy are energy over temperature, no reference to space or mass). In this closed system the 2nd law tells us that overall entropy only goes up, but it does not help us to differentiate between different areas of density. It also tells us that, overall, the density will increase over time, which is not intuitive.
Considering open systems makes things easier. Energy and matter can fl...
I think you're flogging a dead horse with this line of questioning. Or perhaps its the teleological language you choose to employ. There are a bunch of good replies. What is it you actually want to know? To get better answers you need to ask better questions.