Considering bitcoin investment as emergency money doesn't seem a bright idea because this will mean that once you need the money you should sell it a market value and sometimes it could be below your entry point.
The exit strategy is a long time movement because you must wait for the right price to convert your money into fiat so you won't be able to have access to your funds right away.
Emergency money should be in fiat.
When it comes to bitcoin investments we should all consider on having an alternative form of saving that we could all used in emergencies so when it comes to the time we need to used bitcoin it is not hard for us to deal with transactions. And if we really want ti evade the fees it much more eaiser for to not put all our eggs in the basket which simply means have an allotted amount of money for emergency purposes.