Flatfile does have a rate limit on the API for the latest version of the Flatfile Platform:
One IP address (regardless of url) making more than 10 requests/second, evaluated over a 30 second window. Practically speaking, this means if you make 1000 requests in 10 seconds, that's fine, but if you make 1000 requests over 40 seconds you'll exceed the window and get rate limited.
The same request (regardless of IP address) being made more than 10 requests/second, evaluated over a 30 second window. Same rules apply as above.