Sure but there are also better options if your goal was to keep those sites working. `Referrer-Policy: same-origin` will let all same origin referrals work but leak nothing cross origin. If you really really really want to only let the site you just loaded know you came from somewhere else on its domain but not particularly where for some reason then `Referrer-Policy: strict-origin` will do that for same origin requests and still drop the referrer completely cross origin. If you don't want any at all then `Referrer-Policy: no-referrer"` or just remove it. Any of these can be intercepted and set by a browser extension.

If you want to advertise the base origin of cross requests there's even an option for that. Where there isn't is a built in option is to just always forge the origin to the base of where you're connecting. My confusion is in what that extra work gained.