I think a lot of the attributes you gave Fire apply to Life. Here's my take:
Fire is for instant gratification, so it has high ATK creatures that give more bang for your buck. Also, its PC and CC aim to remove the creature/permanent swiftly, efficiently, and without room for counterplay. Constructive examples include Crimson Dragon, Immolation, Deflagration. Counterexamples include Fire Spirit, Fire Shield, Fahrenheit.
Life is the rushy element, so it has high ATK-to-cost ratios in its creatures and ways to generate more damage (and exclusive to one card, more quanta). Constructive examples include Horned Frog, Adrenaline, Rustler. Counterexamples include Heal, Emerald Shield, Thorn Carapace.