If you actually experience potato soup as drinking mashed potatoes, even somewhat, you have some sort of miss-wiring in your brain for preprocessing senses.

Marinara is a sauce made primarily with tomatoes, cooked down to the desired thickness. Usually dark, well cooked and rich. Gazpacho is a chilled soup made with raw vegetables, blended together. Tomato is usually used as a base but it's not always the main ingredient. You can make lots of different gazpachos. A bloody Mary is a cocktail made with straight tomato juice, no cooking or blending involved. You would not toss your pasta in this, unless you were an alcoholic that liked to eat disgusting pasta.