Michigan server who got $10,000 tip says she was fired in ensuing dispute

I have always struggled a bit with "tips" and how they are shared.

On one hand, if the "server" is nice, attentive and friendly, deserving. But they dont prepare the food. If i sit back after i eat and think that was great, ( steak was cooked right or food tasted great, etc etc ) shouldnt the cook get some sort of compensation? Yet they dont.

So im tipping the server where a portion of should be going to the back of the house, so to speak.

Having worked in my youth as both waiter and cook, i get the that the kitchen would be a bit upset that the tip sharing only happened with the wait staff.