Since not all the servers works the same, is very hard to try to think in what could be the real problem. I think that it could be CloudFlare which is caching a non existant file or maybe some page rule is affecting .min.ext display. Is odd because Chevereto by default includes those minified files, so it also could be a server issue or even a conflicting library.
The only way to test it it will be to run some tests in your server.