Looting enchantment doesn't affect raw/cooked chicken drops from chickens

A chicken will always drop exactly one raw chicken (item ID #365), or cooked chicken (#366) if on fire, regardless of what level of Looting was used to kill it, unlike pretty much any other item dropped by a mob (including feathers from chickens.)

I have identified the cause of this behavior. Observe the following method, taken from the MCP-decompiled source of Minecraft 1.4.7 (evidence suggests that this particular method has not substantially changed as of 1.6.1). The identifiers used are MCP's:

EntityChicken.java

/**
     * Drop 0-2 items of this living's type. @param par1 - Whether this entity has recently been hit by a player. @param
     * par2 - Level of Looting used to kill this mob.
     */
    protected void dropFewItems(boolean par1, int par2)
    {
        int var3 = this.rand.nextInt(3) + this.rand.nextInt(1 + par2);

        for (int var4 = 0; var4 < var3; ++var4)
        {
            this.dropItem(Item.feather.itemID, 1);
        }

        if (this.isBurning())
        {
            this.dropItem(Item.chickenCooked.itemID, 1);
        }
        else
        {
            this.dropItem(Item.chickenRaw.itemID, 1);
        }
    }

Enclosing the if(this.isBurning()) statement inside a loop similar to the for loop above would fix the issue.