The Bug:

Sculk sensors are not activated upon sheep being dyed.

Steps to Reproduce:

1. Place down a sculk sensor and summon a sheep nearby by using the command provided below.

   /summon minecraft:sheep ~ ~ ~ {NoAI:1b}

2. Apply any kind of dye to the sheep, and watch the sculk sensor closely as you do this.
3. Take note as to whether or not sculk sensors are activated upon sheep being dyed.

Observed Behavior:

Sculk sensors aren't activated.

Expected Behavior:

Sculk sensors would be activated.

Code Analysis:

Code analysis by Avoma can be found below.

The following is based on a decompiled version of Minecraft 1.18.2 using MCP-Reborn.

public class DyeItem extends Item {
   ...
   public InteractionResult interactLivingEntity(ItemStack $is, Player $p, LivingEntity $le, InteractionHand $ih) {
      if ($le instanceof Sheep) {
         Sheep sheep = (Sheep)$le;
         if (sheep.isAlive() && !sheep.isSheared() && sheep.getColor() != this.dyeColor) {
            sheep.level.playSound($p, sheep, SoundEvents.DYE_USE, SoundSource.PLAYERS, 1.0F, 1.0F);
            if (!$p.level.isClientSide) {
               sheep.setColor(this.dyeColor);
               $is.shrink(1);
            }

            return InteractionResult.sidedSuccess($p.level.isClientSide);
         }
      }

      return InteractionResult.PASS;
   }
   ...

If we look at the above class, we can see that sheep being dyed simply isn't registered as a game event as the gameEvent() method is never called, thus not detecting this action as a vibration.

Potential Fix:

Simply calling the gameEvent() method where appropriate within this piece of code should resolve this problem. I feel as if a new game event tag would be expected to be used here as none of the currently existing ones seem to fit this action accordingly.