Do not use approach that one size fits all (unique index columns)

with simple_keys as (SELECT 
  n.nspname AS table_schema,
  c2.relname AS table_name,
  a.attname AS column_name
FROM 
  pg_catalog.pg_class AS c INNER JOIN pg_catalog.pg_index AS i ON i.indexrelid = c.oid
  INNER JOIN pg_catalog.pg_class AS c2  ON i.indrelid = c2.oid
  INNER JOIN pg_catalog.pg_namespace AS n ON c.relnamespace = n.oid
  INNER JOIN pg_catalog.pg_authid AS u ON  n.nspowner = u.oid
  INNER JOIN pg_catalog.pg_attribute AS a ON a.attrelid = c.oid    
WHERE c.relkind = 'i'
AND i.indisunique=TRUE
AND i.indnkeyatts=1
AND a.attnum>=1
AND a.attisdropped = FALSE
AND (n.nspname = 'public'
	 OR u.rolname <> 'postgres')
AND NOT EXISTS (SELECT * FROM pg_catalog.pg_constraint AS o WHERE o.conindid=i.indexrelid AND o.contype IN ('u','p')))
SELECT sk.table_schema, sk.table_name
FROM simple_keys AS sk INNER JOIN information_schema.columns c
USING (table_schema, table_name, column_name)
LEFT JOIN information_schema.domains d USING (domain_schema, domain_name)
INNER JOIN information_schema.schemata s
ON sk.table_schema=s.schema_name
WHERE (coalesce (c.column_default, d.domain_default) ILIKE '%nextval%'  OR C.is_identity='YES')
AND (sk.table_schema = 'public' OR S.schema_owner<>'postgres')
AND Upper(sk.column_name)='ID'
AND c.data_type IN ('smallint','integer', 'bigint')
ORDER BY sk.table_schema, sk.table_name;