Maybe I'm the only person in the world who does not like cheese ... Or maybe not .. What are the perfect ingredients to make a pizza taste good without cheese?
You might consider making pissaladiere, a traditional pizza-like dish from southern France that does not have cheese.
A cheese as a gooey, gummy, sticky thing or just dairy cheese? There are goat chesses, there is almond cheese. I think I even saw a soy cheese.
But anyway, the bottom line is, The cheese is there for the fat. One cup of cheese is around 33 grams of fat (oh man, that's 300 kcal). But do you see yourself dumping a cup of olive oil into your dough? But the fat bring all that tastes, ingredients together and mix them while baking.
So, you can rightfully think that just making/using flavour oils you an make the same taste. And you're right. You can get the thyme, tomatoes, bacon, basil to taste great. Without of course cheese taste.
What you will end is type of Focaccia, depending on how much oil you will put in dough.