That's right, not all projects are held for staff review, especially after you've published a few with no trouble. But it depends. The exact criteria are secret, and the waiting queue is prioritized by a number of factors, among which is organic traffic. So your best bet is to do your own promotion so that your project gets seen instead of waiting for itch.io staff to index your project.
...All of which is explained in the post you said you've read. Hope this helps.