Exclusive by default is designed to fit with 0-based indexing (0..length(v), instead 0..(length(v)-1)). That said, this thinking is less relevant in languages with iterators/ranges and doubly so ones that offer a way to explicitly, but abstractly, iterate over the indices of a vector/array.
On the point of downward ranges, you can often reverse the range explicitly, rather than swapping the endpoints, like reversed(range(0, 6)) or range(0, 6)[::-1] in Python (vs. range(5, -1, -1)). Of course, this isn't nearly as syntactically nice as range(5, 0)... but that comes with its own problems: automatically iterating backwards in ranges has been really annoying every time I've encountered it (mainly in R), requiring extra care and a pile of extra ifs and/or mins & maxs.
On the point of downward ranges, you can often reverse the range explicitly, rather than swapping the endpoints, like reversed(range(0, 6)) or range(0, 6)[::-1] in Python (vs. range(5, -1, -1)). Of course, this isn't nearly as syntactically nice as range(5, 0)... but that comes with its own problems: automatically iterating backwards in ranges has been really annoying every time I've encountered it (mainly in R), requiring extra care and a pile of extra ifs and/or mins & maxs.