Attack Cooldown Is Not Always Visually Indicated

There are multiple actions, other than switching weapons or attacking, which cause the player's attack cooldown to activate. These actions do not cause the attack indicator to appear, nor does the weapon lower to show that the weapon is in cooldown.

These actions include:
1. Placing a block from the offhand
2. Tossing a fishing rod from the offhand
3. Clicking a block in Adventure mode you can't break

Upon performing any of these actions, the cooldown is activated, but the game does not communicate this to the player.

To replicate easily, hold an axe in the main hand, and a fishing rod in the offhand. Then, use the rod and immediately afterward attack a mob. It will do significantly reduced damage, indicating that the attack cooldown is in place but not being visually displayed to the player.