For example, do these differ in performance?
SELECT EXISTS (SELECT * FROM b WHERE a.col = b.col) AS e
FROM a
WHERE e
SELECT EXISTS (SELECT * FROM b WHERE a.col = b.col)
FROM a
WHERE EXISTS (SELECT * FROM b WHERE a.col = b.col)
The subquery will be evaluated twice. In your artificial case, you can avoid that by writing SELECT TRUE FROM a WHERE ...
, but there is no general solution that works for every query.