Fire 100% supports itself, each flame dies but that is like saying each of your proteins get denatured and recycled, the carbon you eat eventually turns into CO2, all your matter changes at some point.

That which takes in nutrients, processes them to support itself, and expels waste products. It is not a good definition of life, as it also excludes spores or many creatures in stasis, where they have absolutely no metabolism, wont take nutrients, process them or expel anything.