Because you can plug it into the ps2 doesnt necessarily mean that its actually going to work for it. Doesnt hurt to try though...
Its kinda like the old analog controllers for regular playstation, for some games on ps2(one that comes to mind is smugglers run) the controller only works to half potential. What I mean is that instead of accelerating to full speed, It only goes half the way. But then for other games it works fine. Its weird.