Will This PS2->Xbox 360 Converter Work With

Will this PS2-> 360 Converter work if I have a perfect 360 stick in my ps2 stick?

I remember there being problems with using a perfect 360 in xbox 360 sticks.

The only disclaimer I could find is that your stick could not be completely digital or something of that nature?

Any and all help appreciated!

PS2 to Xbox 360 Converter