Try:
SELECT m._id,
m.ame,
m.parent,
m.`level`,
m.position,
uu.umid,
uu.umid IS NOT MISSING as enabled
FROM Contacts AS m RIGHT JOIN
(SELECT um.id AS umid
FROM Contacts u UNNEST u.menus AS um
WHERE u._type ="user_menu"
AND um.hide = FALSE
AND u.user_id = '8D6D24A5-D669-45DC-99AC-F257BDA133A4') as uu
ON m._type = "menu_item" AND uu.umid = m._id;
if you want a true/false to test missing just use IS NOT MISSING in the projection clause.
Joins are evaluated left-to-right, but you are joining with the result of an UNNEST, thus I used a subquery to perform the UNNEST operation first before the RIGHT JOIN.