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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?.
Create Table table_name(priority1 VARCHAR(50), priority2 VARCHAR(50), priority3 VARCHAR(50));

Insert Into table_name Values
('x','a','n'),
('g',null,null),
(null,null,null),
('r',null,'i'),
('a','a',null),
(null,'y','a'),
(null,null,'t'),
(null,'w',null);
8 rows affected
Select priority1, priority2, priority3,
DENSE_RANK() Over (Order By Case When priority1 IS NOT null Then 1 End,
Case When priority2 IS NOT null Then 1 End,
Case When priority3 IS NOT null Then 1 End
) priority_rank
From table_name

priority1 priority2 priority3 priority_rank
x a n 1
a a null 2
r null i 3
g null null 4
null y a 5
null w null 6
null null t 7
null null null 8