Help me settle a debate about ringing in salads

At my restaurant, salads come with every entree. Mixed green salads are topped with cucumber, tomato, and shredded cheese. It's very common for guests to request their salad without one or more of these items. Tonight, a guest ordered a salad without tomatoes or cheese, and I rang it in as follows:

NO
TOMATO
CHEESE

When the cook put the salad in the window, it had cucumber and cheese on it. I ask for my salad with no tomato or cheese, and the cook tells me that if that's what I want, I should ring in:

NO
TOMATO
NO
CHEESE

The cook argues that my method is unclear, but there's no reason for me to ring in requesting cheese because it already comes on the salad. It also takes up less room on the screen, which is often full to begin with. Who is right in this scenario?