Your query is selecting subscribers from ALL sends and then excluding anyone who opened Job 22008 OR 22007. Is this what you are looking for?
What I think you are wanting is a list of only subscribers that were sent job 22008 or 22007 and exclude anyone who opened one of these two emails. Is this a correct way to re-state your requirements?
To accomplish this, I would first select distinct subscribers from these two jobs:
select distinct s.subscriberKey
from _sent s
where s.JobID = 22008 OR s.JobID = 22007
Then I would update the query to exclude subscribers who had opened an email that corresponds to one of these two job:
select distinct s.subscriberKey
from _sent s
where s.JobID = 22008 OR s.JobID = 22007
and s.SubscriberKey NOT IN (
SELECT o.SubscriberKey
FROM _Open o
WHERE o.JobID = s.JobID
AND o.SubscriberKey = s.SubscriberKey
)