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However, any variety of smoked paprika won't match the heat level of hot paprika. It's why I also add red pepper flakes, chili flakes, or ground chilies to my recipe when using smoked paprika.

Tomato sauce sports a nice bright red color and a sweet taste that mimics that of the sweet paprika. However, these qualities alone without the spice are not enough as a swap. Mixing it with chili powder will add the heat that tomato sauce lacks. There’s a catch, however. Since this backup is wet, it’s only good for recipes like stews and soups. 

In a nutshell: capsaicin is a lipophilic compound that can be found in different concentrations in peppers that are described as hot, such as Habanero, Jalapeño, and Scorpion. It is a compound that produces a burning sensation in any tissue it comes into contact with. So, the more capsaicin in the pepper, the more the heat gets turned up.