So let's break that down.
The base standard library and "idiomatic" Julia are both largely written without the assumption of 1-based indexing, instead dispatching to what you think about as an array-oriented dsl, which is this interface: https://docs.julialang.org/en/v1/manual/interfaces/#man-inte...
It is very normal in Julia to implement such interfaces to do what you want. Julia uses these types of internal interfaces with multimethods in lieu of a lot of compiler intrinsics.
So I would say Julia and Fortran have different implementations of arbitrary indexing.
They are both oriented around core design features of each respective language.
One can see it in the implementation of `filter!` for example https://github.com/JuliaLang/julia/blob/ab4e036b9209967b4273... :
Julia's arrays system is built so that most arrays that are used are not the simple Base.Array. Instead Julia has an AbstractArray interface definition (https://docs.julialang.org/en/v1/manual/interfaces/#man-inte...) which the Base.Array conforms to, and many effectively standard library packages like StaticArrays.jl, OffsetArrays.jl, etc. conform to, and thus they can be used in any other Julia package, like the differential equation solvers, solving nonlinear systems, optimization libraries, etc. There is a higher chance that packages depend on these packages then that they do not. They are only not part of the Julia distribution because the core idea is to move everything possible out to packages. There's not only a plan to make SuiteSparse and sparse matrix support be a package in 2.0, but also ideas about making the rest of linear algebra and arrays themselves into packages where Julia just defines memory buffer intrinsic (with likely the Arrays.jl package still shipped with the default image). At that point, are arrays not built into the language? I can understand using such a narrow definition for systems like Fortran or C where the standard library is essentially a fixed concept, but that just does not make sense with Julia. It's inherently fuzzy.
The fortran version is super neat, especially in conjunction with stack allocated multidimensional variable length arrays.