Only numbers available should be your stored 'In Case of Emergency' number, and the actual emergency number for the region you are in. Remember, the whole point in that is if someone else were to use your phone in an emergency.
If you are able to use your phone, then you don't need full access to all numbers in emergency mode. There is your 'In Case of Emergency' number and the emergency number(s) (Sea, Mountain etc), that is it. I see no need for any others. If you are in an accident, someone needs to phone for an ambulance, it is there. If you have a condition and they need to phone your doctor, you have your 'In Case of Emergency' number.
If it is an emergency, those are the only two you'd need. Phoning your wife, husband or whatever, isn't a priority if you have been in an accident. Getting an ambulance is.
And everyone has a mobile these days - if would be quite rare to be in an accident or something and be surrounded by people who don't have mobile phones.