To be clear: if the URL/origin is too long, the origin should be elided from the left.
The scheme should also be visible, unless we show a lock icon to indicate HTTPS.

Don't know whom to send this to.

tedchoc@, do you know?

Does this work as expected on desktop with a small window?  On my 56.* build, it does not.

No, it won't.  Just getting mixed LTR/RTL text to elide correctly was hard; making things origin-aware as well will be very tricky, as by the time we get to the code that elides, it's just a set of text runs, and there's no real "origin" info anymore.

Also, the omnibox dropdown never shows locks.  It simply omits "http://" if present to reduce visual noise.  We would want to avoid changes to either of those, at least for the time being.

I'm sadly downgrading this to P-3.  If it doesn't work on desktops with small Windows since Chrome started, and it hasn't worked on Android for years, it's clearly not P-2.