Brands and their ordering providers that watch for their site loading under someone else's domain, or for checkout sessions that never reach the real payment provider, are well placed to catch these sites early.
It can be detected if the IT folks look in the right places. I suppose a SCAM ALERT page could be presented to a reverse proxy when discovered.
Excuse me while I go throw up, can’t believe I just recommended that.
In the old days, delivery was limited to pizza, and occasionally Chinese. You'd call the restaurant directly and place the order. The only possible way a scammer would get you is if you called the wrong number. That's why we had the Yellow Pages.
It seems from comments here that Google is a lot less reliable than the Yellow Pages were.