I'm wondering if it's generally more efficient to use a materialized view for joining tables rather than a Common Table Expression (CTE). For example, if I have tables foo and bar that are joined and then later joined with baz, would a materialized view of foo and bar be faster because it can track changes, as opposed to a CTE which doesn't maintain state? Here's a simplified example with task and task_priority tables:

dev=> create table task (id int, detail text);
dev=> create table task_priority (task_id int, priority int);
dev=> create table baz (id int, info text);
-- Materialized view approach
dev=> create materialized view task_with_prioritizations as
select task.id, task.detail, task_priority.priority
from task
left join task_priority on task.id = task_priority.task_id;
-- CTE approach
dev=> with task_cte as (
select task.id, task.detail, task_priority.priority
from task
left join task_priority on task.id = task_priority.task_id
)
select task_cte.*, baz.info
from task_cte
join baz on task_cte.id = baz.id;

Does the materialized view have an advantage because it 'knows' the state of the join, or would recalculating everything with a CTE be just as efficient?