This seems desirable, and Firefox implements this as a preference I believe. I think this will only require a UI component, as the logic for removing the header exists already.

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There're extensions that controls referrer header (e.g. Referer Control), these can't be used on Android though.

Ping. Is this feature still worth pursuing? It seems that there is already a pref at [1], so it seems it would be easy to expose this in Settings.

[1] https://cs.chromium.org/chromium/src/chrome/common/pref_names.cc?type=cs&g=0&l=1034

I would be happy about a setting to control referers but adding new settings is always a bit difficult. As discussed above, referers can be controlled by extensions and the command-line, so there is a way for technically versed users to control them. 

tnagel@: I think we had some plans to limit referers in general, do you know what the status there is?

No concrete plans afaiu.