Please check which version you are using before you respond again. You can see it in the title bar of both your screen and in my screenshot. If it is different and you are playing an earlier version, then you might mistakenly think something works correctly when it doesn’t.
A screenshot with the resulting message, including the version number in the title bar, is given below.
http://puu.sh/7dvRt.jpg
After refusing to stop multiple times, I get the screen below, with the character not in a better state than before applying the first aid kit. This is even though first aid kits are designed to be used during the duration of bleeding in reality.
http://puu.sh/7dw3h.jpg