BUG #17526: PG_DUMP is not outputting "CREATE SCHEMA" statements when an extension is assigned to a schema

The following bug has been logged on the website:

Bug reference: 17526
Logged by: chris
Email address: developer(at)moregatebiotech(dot)com
PostgreSQL version: 14.4
Operating system: Linux
Description:

PG_DUMP is not outputting "CREATE SCHEMA" statements when an extension is
assigned to a schema.

I've also verfied this same behaviour on version 13.7 running under Windows
and also using the adminpack extension created in pg_catalog instead of
hstore in public.

A shell script to demonstrate the issue:

createdb test1
createdb test2
psql test1 -c "create schema test"
psql test2 -c "create schema test"
psql -d test2 -c "create extension hstore with schema public"
psql -d test2 -c "alter extension hstore add schema test"
pg_dump --no-comments test1
pg_dump --no-comments test2

Following are the results of the script, noting that for the case of the
test1 db, the "CREATE SCHEMA test;" statement is being correctly output by
pg_dump but in the case of the test2 db, which has the hstore extension
added to it, the create schema statement is absent:

user(at)debian-testing:~$ createdb test1
user(at)debian-testing:~$ createdb test2
user(at)debian-testing:~$ psql test1 -c "create schema test"
CREATE SCHEMA
user(at)debian-testing:~$ psql test2 -c "create schema test"
CREATE SCHEMA
user(at)debian-testing:~$ psql -d test2 -c "create extension hstore with schema
public"
CREATE EXTENSION
user(at)debian-testing:~$ psql -d test2 -c "alter extension hstore add schema
test"
ALTER EXTENSION
user(at)debian-testing:~$ pg_dump --no-comments test1
--
-- PostgreSQL database dump
--

-- Dumped from database version 14.4 (Debian 14.4-1)
-- Dumped by pg_dump version 14.4 (Debian 14.4-1)

SET statement_timeout = 0;
SET lock_timeout = 0;
SET idle_in_transaction_session_timeout = 0;
SET client_encoding = 'UTF8';
SET standard_conforming_strings = on;
SELECT pg_catalog.set_config('search_path', '', false);
SET check_function_bodies = false;
SET xmloption = content;
SET client_min_messages = warning;
SET row_security = off;

--
-- Name: test; Type: SCHEMA; Schema: -; Owner: postgres
--

CREATE SCHEMA test;

ALTER SCHEMA test OWNER TO postgres;

--
-- PostgreSQL database dump complete
--

user(at)debian-testing:~$ pg_dump --no-comments test2
--
-- PostgreSQL database dump
--

-- Dumped from database version 14.4 (Debian 14.4-1)
-- Dumped by pg_dump version 14.4 (Debian 14.4-1)

SET statement_timeout = 0;
SET lock_timeout = 0;
SET idle_in_transaction_session_timeout = 0;
SET client_encoding = 'UTF8';
SET standard_conforming_strings = on;
SELECT pg_catalog.set_config('search_path', '', false);
SET check_function_bodies = false;
SET xmloption = content;
SET client_min_messages = warning;
SET row_security = off;

--
-- Name: hstore; Type: EXTENSION; Schema: -; Owner: -
--

CREATE EXTENSION IF NOT EXISTS hstore WITH SCHEMA public;

--
-- PostgreSQL database dump complete
--