Yes! Record Union is currently used by thousands of labels to manage their digital catalog and release new material.
When uploading your release on the 'Availability' page, just tick the box that says 'Add a label name to the copyright line', and here you can set your own label name in the metadata so it will be fully associated with your release on the different digital services.
Also, if you are a registered company, you can add this info in the billing information so this status is applied to invoices and receipts.