Killing Mobs with Fire should Reduce Their Loot

Sometimes, players kill animals by setting them on fire before doing so.  Because of this, they get the cooked meat.

This is very overpowered, as this saves a huge chunk of time that would've been used to cook the meat manually, as well as getting the mob's drops as a bonus.  So, here's my thoughts:

Reduced Loot

When killing an animal while they are on fire, their meat should be reduced, and their bonus drops should either come or won't drop at all.

For example, a sheep's wool shouldn't drop, as realistically, their wool would burn off.  Same with chickens and their feathers.  Of course, leather is pretty tough, so there will still be some dropped occasionally. 

This would be a good trade-off if players ever want to obtain cooked food faster.