You observation are mostly correct. Surprised you have not noted the Licho though.
Phoenix sucks donkey balls. Shadow is kinda meh ever since the dive speed nerf, gets countered pretty hard by paying attention.
Licho is expensive, but the amount of AA the enemy needs to amass to kill one is much higher, so if you use it cautiously, it should be able to survive indefinitely, or at least until the enemy gets some really heavy AA.
Avenger/Swift > Vamp/Hawk. Avenger is more mobile and is capable of limited anti-ground attack. Hawk is slow as fuck, turns terribly (so loses small dogfights against Avenger), cant hit ground, and doesnt have as much burst damage. Sure, Hawk does have more health, but you are not supposed to put your fighters under much enemy AA fire in first place. The HP difference, while high, is not actually that noticeable when poor planes get into heavy AA.