Since HN is using HTTPS, this should be very easy to test by just clicking on this link: https://www.whatismyreferer.com/
Note that HN includes this line of HTML which affects the sent Referrer header:
<meta name="referrer" content="origin">https://github.com/HackerNews/HN/issues/68
(Background: https://news.ycombinator.com/item?id=7197520)
IIRC, I think the developer was open to adding a referral, but not have it leak any on-site information, so this was a compromise.
if I right click the link (which I often do) and open in new tab or window, I see:
No referer / hidden
In these cases it does not alleviate the issue flagged above.
With other affiliate networks I absolutely did have problems though - because of the issue described above.
I assumed the difference was amazon's use of a referral tag at the end of every url?