In its bid for suppression, the company had argued its case was an "exceptional circumstance" and as such a non-publication was warranted.
It said evidence in the case was commercially sensitive and as such it should not be public.
However, the case took a surprise turn when media were informed - upon arrival at court - that the company no longer sought the take-down orders.
That meant media were effectively removed from the hearing, because they were only a party to the argument about take-down, and not the wider arguments about non-publication.
The judge said media were allowed to seek the costs of appearing before the court be paid by the party seeking suppression.
The argument about non-publication will now continue solely between the former employee and the company.
Names of the parties involved will be subject to an interim suppression order until the judge makes a final decision on no-publication.
The substantive matter in the hearing is a breach of contract, which will be heard at a later date.