It seems the website is 9 yrs old alive and kicking and they keep scamming but we do not know if the owner is already dead or not. As you said your client lost funds and the transfer amount has still not been transferred to another wallet yet.
I'd like to suggest you try if you want to know the name and address of the owner of the website try to contact this
https://www.enom.com/reseller/contact-us/Because the domain is registered on that site.
I think that you can able to get the real name and address of that scammer on enom.com because they only accept these payment methods credit cards, PayPal, check, or wire transfers.
Just try to ask them about the name, address, and contact number of the owner of that website. Let's hope that the domain provider will cooperate and don't forget to tell them that the owner is a scammer send some proof.