I can't speak to the others, but I've worked with EatStreet before, and I know all the restaurants have signed contracts with them and EatStreet manages their websites.
http://www.azuca.net/azuca/ and https://azucasaborlatino.com/
These two websites do not point to each other at any point. The domain for the first website appears registered by the restaurant themselves, pointing to nameservers belonging to Dine Online - which looks like a marketing/web dev firm.
The second domain is registered by EatStreet.
Now, it seems likely to me that Azuca and EatStreet have some working relationship, most probably the same sort of relationship restaurants have with GrubHub or Seamless.
The problem here is language. EatStreet's page does not make it clear at all that this is a third party, and in fact seems to go out of its way to insinuate that this is in fact the official website for the restaurant. This seems like trademark infringement to me, but IANAL.
Sketchy, to say the least.
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