The report got “filed” as you yourself just stated.
Filed, not published. The CDC reserves for itself 6 - 8 weeks to review content before publishing the report to VAERS. A person cannot publish directly to VAERS - the CDC has to decide whether or not to publish it. So it’s false to say that anyone can put anything on VAERS. The CDC can put anything it decides to publish on VAERS. During the vax rollout, the CDC decided to withhold thousands of records for months (not publish) and then started back filling while holding new reports back.