You trading potential tracking by thirdparties with potential tracking by yourself. Since you are the one making this tradeoff and als the one who can benefit off it it always will be suspicious.

Really, Referer-related privacy problems should be fixed in the browser and any browser that still sends cross-origin Referer headers by default cannot claim to care about privacy - and that includes Firefox.

> Some browsers (especially older ones) do not support this standard, however. For those browsers, and also in situations where meta referrer doesn't work, we send the request back to our servers to remove search terms.

Disabling javascript is one of the first things to do to take back control of your privacy so you deciding to leak more data for those users who make that choice is not a good look.