Referrer is important for some users , and some doesn't care about it.
Referrer override is a big issue for us because we have no control over browser behaviour that effect the referrer value.
We do give three option for referrer:
We send visitors to cloacked url with NULL referrer and destination page will report those visitors as blank referrer.
We pass the original referrer for that link, Facebook for example.
When you choose Safe URL as a referrer, then cloaked URL destination will log the Safe URL as a referrer for all traffic we redirect to that URL.