shell redirection of standard output and standard error to the same file

Consider a program hello_and_error that writes to both stdout and to stderr. To redirect both to stdout:

hello_and_error 2>&1

If you want to redirect both to the same file hello.txt you can do in bash the following:

hello_and_error &> hello.txt

If you want to do this in a more obvious (but longer) way you should do

hello_and_error 1>hello.txt 2>&1

and not

hello_and_error 2>&1 1>hello.txt

The former is semantically equivalent with hello_and_error &> hello.txt but looks a bit counter-intuitive to me. The latter seems more natural from the point of view of the user: "first merge stderr in stdout and then redirect this combination to a file", but it only redirects the stdout of hello_and_error to the file and redirects the stderr of hello_and_error to the stdout of the shell.

The former is probably more natural from the programmer's point of view. I guess you could compare it to the following pieces of (pseudo-)code.

for redirection 1>hello.txt 2>&1:

// initialisation to defaults
stdout = 1
stderr = 2
// parse redirection
stdout = file("hello.txt")
stderr = stdout
// result:
// stdout == file("hello.txt")
// stderr == file("hello.txt")

for redirection 2>&1 1>hello.txt:

// initialisation to defaults
stdout = 1
stderr = 2
// parse redirection
stderr = stdout
stdout = file("hello.txt")
// result:
// stdout == file("hello.txt")
// stderr == 1

A more in depth view on the redirection: http://www.ss64.com/bashsyntax/redirection.html.