There is nothing between a melt and a grilled cheese. It’s one or the other. Or neither. I’m bringing this argument back.
Personally I’d lean towards grilled cheese with extra stuff in it for this sandwich. I feel like to be considered a melt it’d have to be something like a tuna melt where the cheese accompanies the tuna, and not the other way around. You think the classification is a question of volume proportions between cheese and whatever else is in it?