When the Sony branding is plastered all across the controller and packaging, I consider it official. It's basically the official wireless controller for the system through Sony's endorsement of it. Not that it matters either way, just explaining my thinking.
I'll have to try my Logitech again and see if I did check it on my PSOne (I thought I did when I tried the Force 2 controller). But I'm quite certain that I've tried the Force 2 on the redesigned PSOne and didn't have any luck. So don't buy one of those PS2 controllers expecting to be able to use it on your PSOne.
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