I agree that it's a very good idea to keep a travel kit handy in case you need to go somewhere in a hurry. People talk about needing one for a disaster and maybe they think they don't need one because they will never suffer from a disaster.
But, there are big disasters and there are little disasters. If you've got a loved one overseas and they are severely injured or, god forbid, they die, then you may have to leave at very short notice to go and handle the authorities there.
If something like that happens, the last thing you need is to get to a strange town or country and realize that, in the shock of going, you forgot to pack essential items.
This has happened to people in my family before and they make it a point to keep a couple of toiletry travel kits handy, just in case they need them for whatever reason.