### Body

The `--package-filter` while nice in theory to specify which packages to build, has quite bad UX (lots of repetitions when specifying multiple packages, long package names. We practically (except `--package-filter apache-airflow-providers-*` never use the functionality of the filter with glob patterns.

It's much more practical to use "short" package names ("apache.hdfs" rather that `--package-filter apache-airflow-providers-apache-hdfs` and we already use it in a few places in Breeze. 

We should likely replace all the places when we use `--package-filter` with those short names, add a special alias for `all-providers` and this should help our users who build documentation and release manager to do their work faster and nicer. 

This would also allow to remove the separate ./dev/provider_packages/publish_provider_documentation.sh  bash script that is aimed to do somethign similar in a "hacky way".

### Committer

- [X] I acknowledge that I am a maintainer/committer of the Apache Airflow project.
command_to_execute.extend(["--from-ref", merge_base, "--to-ref", "HEAD"])
    if all_files:
        command_to_execute.append("--all-files")
    if show_diff_on_failure:
        command_to_execute.append("--show-diff-on-failure")
    if last_commit:
        get_console().print(
            "\n[info]Running checks for last commit in the current branch current branch: HEAD^..HEAD\n"
        )
        command_to_execute.extend(["--from-ref", "HEAD^", "--to-ref", "HEAD"])
    if commit_ref:
        get_console().print(f"\n[info]Running checks for selected commit: {commit_ref}\n")
        command_to_execute.extend(["--from-ref", f"{commit_ref}^", "--to-ref", f"{commit_ref}"])
    if get_verbose() or get_dry_run():
        command_to_execute.append("--verbose")
    if file:
        command_to_execute.append("--files")
        command_to_execute.extend(file)
    if precommit_args:
        command_to_execute.extend(precommit_args)
    env = os.environ.copy()
    env["GITHUB_REPOSITORY"] = github_repository
    static_checks_result = run_command(
        command_to_execute,
        check=False,
        no_output_dump_on_exception=True,
        text=True,
        env=env,
    )
    if static_checks_result.returncode != 0: