Do not leave out the referential constraints (pairs of tables)

WITH key_columns AS (SELECT kcu.table_schema, kcu.table_name, kcu.column_name, c.data_type
FROM INFORMATION_SCHEMA.key_column_usage AS kcu INNER JOIN
INFORMATION_SCHEMA.columns AS c
USING (table_schema, table_name, column_name)
WHERE (constraint_schema, constraint_name) IN
(SELECT constraint_schema, constraint_name
FROM INFORMATION_SCHEMA.table_constraints
WHERE constraint_type IN ('PRIMARY KEY','UNIQUE') AND 
constraint_schema NOT IN (SELECT schema_name
FROM INFORMATION_SCHEMA.schemata
WHERE schema_name<>'public' AND
schema_owner='postgres' AND schema_name IS NOT NULL))),

fk as (select
o.conname,
(select nspname from pg_namespace where oid=f.relnamespace) as foreign_schema,
f.relname as foreign_table,
f.oid as foreign_table_oid,
o.confkey AS foreign_col,
(select nspname from pg_namespace where oid=c.relnamespace) as target_schema,
c.relname as target_table,
c.oid as target_table_oid,
o.conkey AS target_col
from pg_constraint o inner join pg_class c on c.oid = o.conrelid
inner join pg_class f on f.oid = o.confrelid
where o.contype = 'f'),
fk_unnest as (select conname, foreign_schema, foreign_table,  foreign_table_oid, foreign_col, foreign_col_num, target_schema, target_table, target_table_oid, target_col, target_col_num, ordin
from fk, unnest(fk.foreign_col, fk. target_col) with ordinality as f(foreign_col_num, target_col_num, ordin)),
fk_with_names as (select conname, foreign_schema, foreign_table, a_foreign.attname as foreign_col, target_schema, target_table, a_target.attname as target_col
from fk_unnest fk inner join pg_attribute a_foreign on fk.foreign_col_num = a_foreign.attnum and fk.foreign_table_oid = a_foreign.attrelid and a_foreign.attisdropped = false
inner join pg_attribute a_target on fk.target_col_num = a_target.attnum and fk.target_table_oid = a_target.attrelid and a_target.attisdropped = false),

all_non_fk_columns AS (SELECT table_schema, table_name, column_name, data_type
FROM INFORMATION_SCHEMA.columns AS c
WHERE table_schema NOT IN (SELECT schema_name
FROM INFORMATION_SCHEMA.schemata
WHERE schema_name<>'public' AND
schema_owner='postgres' AND schema_name IS NOT NULL)
AND (table_schema, table_name) IN (SELECT table_schema, table_name
FROM INFORMATION_SCHEMA.tables
WHERE table_type='BASE TABLE')
AND NOT EXISTS (SELECT 1
FROM fk_with_names AS fwn
WHERE c.table_schema=fwn.target_schema
AND c.table_name=fwn.target_table
AND c.column_name=fwn.target_col))

SELECT key_columns.table_schema AS primary_table_schema, key_columns.table_name AS
primary_table_name, key_columns.column_name AS primary_column_name,
all_non_fk_columns.table_schema AS dependent_table_schema, all_non_fk_columns.table_name AS
dependent_table_name, all_non_fk_columns.column_name AS dependent_column_name
FROM key_columns, all_non_fk_columns
WHERE (key_columns.data_type=all_non_fk_columns.data_type) AND
((Upper(key_columns.column_name)=Upper(all_non_fk_columns.column_name) AND 
(NOT (key_columns.table_schema=all_non_fk_columns.table_schema AND key_columns.table_name=all_non_fk_columns.table_name)))
OR
(Upper(key_columns.column_name) IN ('ID','KOOD','CODE','NR') AND
Upper(key_columns.table_name)=regexp_replace(translate(Upper(all_non_fk_columns.column_name),'_',''),'(ID|KOOD|CODE|NR)',''))
OR
(Upper(key_columns.column_name)=Upper(key_columns.table_name) AND
Upper(key_columns.table_name)=regexp_replace(translate(Upper(all_non_fk_columns.column_name),'_',''),'(ID|KOOD|CODE|NR)','') AND
(NOT (key_columns.table_schema=all_non_fk_columns.table_schema AND key_columns.table_name=all_non_fk_columns.table_name))))
AND NOT EXISTS (SELECT 1 
FROM fk_with_names AS R
WHERE R.foreign_schema =all_non_fk_columns.table_schema AND 
R.foreign_table= all_non_fk_columns.table_name AND 
R.foreign_col=all_non_fk_columns.column_name AND 
R.target_schema = key_columns.table_schema AND 
R.target_table= key_columns.table_name AND 
R.target_col=key_columns.column_name)
ORDER BY key_columns.table_schema, key_columns.table_name, all_non_fk_columns.table_schema, all_non_fk_columns.table_name;