Weird ps2 HRAP malfunction - please help me

My good old HRAP doesn’t work anymore when connected on a ps2 (any ps2, as I tried it at friends’ place to be sure that it wasn’t my console), like there is no signa, no joystick gets detected.
BUT if i connect the very same stick to PC through an USB adaptor, the stick gets detected and works flawlessly, like brand new. WTF? I don’t know what to do about that, please help me 'cause I’m quite clueless on this

What PS2-USB adaptor are you using, and is the connector on the top outside of the plug (little metal square hole on top) missing, damaged or disconnected?