Parity: Axes don't do more damage than Swords

In Java edition, Axes do 2+ more damage than Swords (for example, Netherite Axes deal 5 Hearts of damage while Netherite Swords only deal 4 Hearts)

 

In Bedrock edition, Axes only do -1 less damage than Swords (for example, Diamond Swords deal 3.5 Hearts of damage, but Diamond Axes only deal 3 Hearts)

 

It would make sense if Axes deal more damage than Swords in both versions of the Game.

How to reproduce (optionable)

1. Open both Java & Bedrock versions
2. Grab any Axe (both versions must use the same type of Axe
3. Damage any mob (both versions must hit the same type of mob)
4. Notice the mobs health bar in both versions

Observed Result: Swords deal more damage than Axes

Expected Result: Axes deal more damage than Swords

This bug isn't really such a big deal, but it would (again) make sense to fix.