As far as I know there is basically no reason to use OO, it is a completely dead project. All of the development effort is being focused on LO, so if you want a FOSS word processor use LO.
OO isn't completely dead, the Apache foundation is still maintaining it. It's more like it's on life support. But it is definitely true that LO development is far far more active and there's not much point in using OO over it.
And Abiword for Windows does exist but hasn't been updated in the past decade.
And Abiword for Windows does exist but hasn't been updated in the past decade.