Nah, that is mostly about keeping the ordering in mind when iterating (e.g. do you iterate first over innermost or outermost index?). And there are algorithms such as (naive) matrix multiplication where the correct order for one matrix is the wrong for the other one, so plus ca change.
But speaking of arrays, one definitive advantage of Fortran is that it has built-in multidimensional arrays in the language. Which is very nice when writing code that needs them. In C many people resort to the Fischer-Price My First Multidimensional Array implementation where they allocate each row separately, which is of course horrible. (In C++ you can use libraries like Eigen or Armadillo which use expression templates and operator overloading to have sensible multidimensional array support even if it isn't built-in.)
But speaking of arrays, one definitive advantage of Fortran is that it has built-in multidimensional arrays in the language. Which is very nice when writing code that needs them. In C many people resort to the Fischer-Price My First Multidimensional Array implementation where they allocate each row separately, which is of course horrible. (In C++ you can use libraries like Eigen or Armadillo which use expression templates and operator overloading to have sensible multidimensional array support even if it isn't built-in.)