Though What 3 Words requires you to download a custom app & for the emergency services to use a back-end for the same app when handling incoming calls — if we're doing that, could we not just have a simple app that checks your GPS and then dials 999 with your lat/lng added to the phone number?
My bank get me to key in my sort code & account number while using telephone banking. If we did the same here, we could get the precision of GPS without the user needing to call out any numbers