My take on this is that Fourier is easier to understand, has more immediate and relatable practical applications, and can be explained to "common folk" with jus

My take on this is that Fourier is easier to understand, has more immediate and relatable practical applications, and can be explained to "common folk" with just-enough sophistication and some tangible analogies (like the wool picture from the article). Explaining Laplace to solve differential equations with analogies it's a bit more... complicated.