From the tests that I have done on my end, local and across multiple servers, the parameters of the referring URL have all been passed to the HTTP_REFERER without any modifications to the servers, hacks, or the like. I did not cross-browser test this, however; I primarily use Firefox.
A reference from the PHP manual that might help:
'HTTP_REFERER' - The address of the page (if any) which referred the user agent to the current page. This is set by the user agent. Not all user agents will set this, and some provide the ability to modify HTTP_REFERER as a feature. In short, it cannot really be trusted.
If this is purely for analytic tracking, the owner of "inemplum.com" should be able to provide you with a set of custom parameters to append to the URL that would patch directly into their tracking software. For instance, Google Analytic's utm_source=example.com, or Piwik's pk_campaign=whatever.
In the event that "inemplum.com" is trying to do something with that data, simply pass the necessary parameters over via a standard GET by appending the parameters to the link. For example, inemplum.com/?user=Jon.
Hope that helps!