their free/lite version of Kompakt Player
This player was only supplied by EastWest, not by Native Instruments even though Native Instruments wrote this program.
If you're running a PPC Mac, yes this will run fine because KOMPAKT is a PPC program only.
If you're running a Intel Mac, KOMPAKT will still run but under Rosetta on an Intel Mac but you won't be able to see this in Logic if Logic is running as an Intel application.
I've actually seen people copy over thier Logic PPC to an Intel Mac and they can see the KOMPAKT player, but that's only because Logic is also running under Rosetta as a PPC program, not an INTEL program.
I could never get the Kontakt 4 Player to work with my HardCore Bass and Stormdrum 1 but at that point didn't care because I have the Full Version of Konkakt 3.5
Just to point out, Kompakt and Kontakt are two different programs, i'm not typing a typo in these names. I was confused about that as well.