Both of these countries/ethnicities are functionally extinct. It's no secret... I worked for an insurance company 5 years ago, and at one of the company luncheons a C-level was telling jokes about how they were all betting amongst themselves when the last Japanese person would be born.
So, if you like humans, and by this I mean you want them to continue to exist into the indefinite future, then all of this should alarm you. At no point in the future will the last few Greek women think "hey, let's have at least a population-stabilizing 2.1 fertility rate again".
China's on an even more unhinged course. If they were to allow it to continue naturally (if that's even the right word, given the recent one child policy), they might become extinct even faster than other countries. But there will be forced pregnancy policies (even camps) within the next decade or two, I think.
You can decide for yourself whether any of this "matters".
Quite fitting China, Japan, Italy, and Greece might be some of the first thrown back into palace economies.
An aging population means excess resources have to flow from the young to the old.