### Body

Our CI generates `--package-filter` list in selective checks in order to pass them to `build-docs` and `publish-docs` commands. However after implementing #33876 and #34085 we could switch both commands to use short package ids which we already have (almost - there should be a slight modification for `apache-airflow`, `apache-airflow-providers` and `helm-chart` most likely. This should also simplify some of the unit tests we have.



### Committer

- [X] I acknowledge that I am a maintainer/committer of the Apache Airflow project.
"openlineage oracle postgres presto salesforce samba sftp ssh trino",
                "all-python-versions": "['3.8']",
                "all-python-versions-list-as-string": "3.8",
                "image-build": "true",
                "needs-helm-tests": "true",
                "run-tests": "true",
                "docs-build": "true",
                "docs-filter-list-as-string": "--package-filter apache-airflow --package-filter helm-chart "
                "--package-filter apache-airflow-providers-amazon "
                "--package-filter apache-airflow-providers-apache-beam "
                "--package-filter apache-airflow-providers-apache-cassandra "
                "--package-filter apache-airflow-providers-cncf-kubernetes "
                "--package-filter apache-airflow-providers-common-sql "
                "--package-filter apache-airflow-providers-facebook "
                "--package-filter apache-airflow-providers-google "
                "--package-filter apache-airflow-providers-hashicorp "
                "--package-filter apache-airflow-providers-microsoft-azure "
                "--package-filter apache-airflow-providers-microsoft-mssql "
                "--package-filter apache-airflow-providers-mysql "
                "--package-filter apache-airflow-providers-openlineage "
                "--package-filter apache-airflow-providers-oracle "
                "--package-filter apache-airflow-providers-postgres "
                "--package-filter apache-airflow-providers-presto "
                "--package-filter apache-airflow-providers-salesforce "
                "--package-filter apache-airflow-providers-samba "
                "--package-filter apache-airflow-providers-sftp "
                "--package-filter apache-airflow-providers-ssh "
                "--package-filter apache-airflow-providers-trino",
                "run-kubernetes-tests": "true",
                "upgrade-to-newer-dependencies": "false",