Though a couple of relevant regulations state this should not be done, and no site is going to send away a potential customer by saying “we don't want to follow your laws/regulations so can't do business with you” when they can instead just get away with just ignoring, or in the case of sites run from elsewhere in the world claim to have no no knowledge of, those regulations.
Many local US-based TV news/newspaper sites do this albeit with a slightly more opaque message. And customer still mostly fits because these sites are ad-supported (usually with a mix of local/non-local ads.
Just a website with no contact information, no names, adresses, business registration, whatever?
As far as I can see, this could very likely be a scam of some sort, because anybody who's into doing "real", honest, business would be fine with giving his name and address.
I’d feel fine deciding if I feel fine.
That’s also why I have a credit card. I can get scammed and not be out $100.