The system performs automated checks before passing on the statement for approval by a human being where there might be doubt about the assignation of a statement to a specific group or company. This can take anywhere between an hour and five days depending on the load of submissions. Compliance quality is poor in the early days of a new regulation, which means more checking. By year 4 however most companies know what they're doing and so the time to automatically process non-financial statements will decrease significantly. Do let us know if you think a statement has been stuck in the system longer than a week and we'll check the filter.
It is much better to encourage your supplier to submit their statement themselves via an authenticated account, as this will appear instantly. You can do this via a dashboard action sending a specific request for information to a supplier.