Here is the satirical meme about Mexico cities in movies:
Movies like Traffic (2000), the plot took place in Mexico cities, also used brown tint a lot.
Why do movie directors use brown tint in Mexico cities?
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From the trivia page on imdb for Traffic:
To achieve a distinctive look for each different vignette in the story, Steven Soderbergh used three different film stocks (and post-production techniques), each with their own color treatment and grain for the print. The "Wakefield" story features a colder, bluer tone to match the sad, depressive emotion. The "Ayala" story is bright, shiny, and saturated in primary colors, especially red, to match the glitzy surface of Helena's life. The "Mexican" story appears grainy, rough, and hot to go with the rugged Mexican landscape and congested cities.
Film processing (or digital processing filters) is often used in films to convey mood/heat/other emotions. This is all that's in play here.
Mexico is often viewed as being hot and claustrophobic - the film treatment here (and in other films) uses this to enhance the mood of the film.
Soderbergh's rationale for differing colour temperatures and grain effects in different strands of the story of "Traffic" can easily to be applied to other directors and films. Directors can and do use film treatments, editing styles, and music in order to enhance the emotional impacts of scenes, characters, events, and entire films.
It's outside the scope of this answer to include exhaustive examples. However, the main point of this answer is that directors aren't likely to apply film treatements in order to convey a stereotypical perception of any particular location, although this may occasionally be the case.