So I fixed the problem, and this was it:
Since I had install POE _after_ other games, I already had a %USERPROFILE%/Saved Games folder, so it used %USERPROFILE%/Saved Games/Pillars of Eternity to save its games.
On the NEW machine, POE was the FIRST game I ever installed, so %USERPROFILE%/Saved Games did NOT exist yet.
Thus, it created a saved games folder in a different place:
%USERPROFILE%/Documents/My Games/Pillars of Eternity
I followed these steps:
Step 1: after installing POE fresh on a new machine, play it and create a save
Step 2: exit POE, and search for the save file (not in AppData, in your user profile)
Step 3: once you verify that the save folder is being used, copy your files over to that directory
Step 4: restart POE and your games will appear under a "v PLAYERNAME" entry which you will click to expand it, your games should be there!
Once I had saved a new game, and located the new game that I had saved, then verified that fact, I easily located it (and after being tipped off in reddit discussion to the fact). I moved my other saves into that folder, and it now WORKS just fine.
Still cant find it?
I also got a tip that some people with differing language locales might get folders named for that language "My Games" might be whatever that is in your operating system's locale if it isn't english-us, so be sure to look.
Don't worry about APPDATA (aka Application Data)
It seems the Local and LocalLow did not make a difference except for during runtime as tempfiles(?) so maybe those dont need to be worried about.
Thanks for enduring my impatience.