In 1.9, stone, iron, and diamond axes all deal the exact same amount of damage, so therefore if a player knows how to overcome the slower attack speed, then stone axes are the best weapon, which is quite broken.
I see Mojang tried to be intuitive with 1.9 with axes by trying to have a tier list of not attack damage like swords do, but instead attack speed. This was removed in the combat snapshots however. Maybe have different axes vary with both attack damage and attack speed. Here are the tiers I came up with (varying in both attack damage and speed to keep the old, intuitive design choice):
Wooden axe: Speed 1.8, Damage 5.0
Stone axe: Speed 1.8, Damage 6.25
Iron axe: Speed 1.925, Damage 7.5
Diamond axe: Speed 2.05, Damage 9.0
Netherite axe: Speed 2.05, Damage 11.0
Golden axe: Speed 2.0, Damage 5.0
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