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Help with an interesting Postgres question: Why isn't an Index Only Scan used on a partition accessed via the parent table?.
select version();
version
PostgreSQL 14.5 on x86_64-pc-linux-gnu, compiled by gcc (GCC) 8.5.0 20210514 (Red Hat 8.5.0-10), 64-bit
create table priorities (
priority1 varchar(1),
priority2 varchar(1),
priority3 varchar(1)
);

insert into priorities values
('a', 'a', null),
('a', null, null),
(null, null, null),
('a', null, 'a'),
('a', 'a', null),
(null, 'a', 'a'),
(null, null, 'a'),
(null, 'a', 'a');
8 rows affected
select
*,
dense_rank() over (
order by priority1 desc nulls last,
priority2 desc nulls last,
priority3 desc nulls last
) priority_rank
from priorities

priority1 priority2 priority3 priority_rank
a a null 1
a a null 1
a null a 2
a null null 3
null a a 4
null a a 4
null null a 5
null null null 6