You can often extract lots of extra information from the URL, most importantly the date of publishing (y/m/d).
Agreed. For example, search for 'anaconda python'. In google, the second result is very obviously the download page for anaconda. In DDG? Good luck discovering that. Just one example that popped immediately to mind.
That's more the fault of the site itself for not using title tags properly, but, yeah I do agree that a full URL option would be ideal.
Only one remark: While I like the effect that the full URL shows up when the mouse is above a search entry I would personally prefer to see the full URL all the time. I would be very happy if you could add an option to change that.