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.
I totally agree with you mate. As for savings purposes it would be nice but if save it for emergency purposes it's not that good since Bitcoin is so volatile. To OP, are you willing to sell your Bitcoins when market is red? This actually happened to me because cryptocurrency related job is my only source of income and all the payments will be saved and be converted if ever there is an emergency but sometimes I got a wrong timing I mean I sold my Bitcoins during dip. Selling coin during loss is not good and just makes me regret but I hqve no choice because I badly need the money. If you really want to save much better find a stable currency like USDT or much better if it is in fiat.