I've done a long layover in WAW flying in J and using their business class lounges (decent showers).
ANY card that gets you into any lounge enywhere, gets you into the WAW lounges.
Your'e talking about the same lounge that gives you a sort of paper "towel" to dry yourself? Embarrassing!
It's funny that you think of it as the LOT J lounge, I think of it as the WIZZ Air Y lounge :-)