In Belgian Dutch, "to run" often also translated as "lopen"
Hitte kan toch ook warm zijn?
Ik ren nooit in de warmte?
In my eyes, 'warmte' would not be wrong here, indeed
I think I'm understanding your question and no, it can't because warm is an adjective and hitte is a noun. You can't be located inside of an adjective! Haha lol. I don't see anything wrong with warmte but don't quote me on that