It's a fun way to learn history actually, following the influences of cooking techniques and trade. And the French were very influential here. The Spanish influenced Mexican cuisine when they conquered the Aztecs, and Spanish aristocratic chefs trained in France, so you can see modifications of classical French cuisine in Mexican prep edited to local spice profiles and ingredients. Etc... Just look at pan dulce!
French cooking is the C of programming in many ways!
Weird, I've taken a couple cooking classes in the Bay Area, and this never came up.
"The five mother sauces include béchamel sauce, veloute sauce, brown or Espagnole sauce, Hollandaise sauce and tomato sauce." French ones are the same: "The five French mother sauces are: Béchamel, Velouté, Espagnole, Hollandaise, and Tomato"
The techniques and ingredients you use for them are the basis for most sauces used in Western cuisine. You learn those five, you've learned all (or most of) western sauces.
Most foods, or most traditional French cuisine? I've never even heard the term, despite cooking pretty decent food for decades.