As a MapInfo user you can consume the Department of Resources provisioned services in GDA2020 by selecting the desired EPSG code when connecting to the services.
The EPSG codes that are available on each of the services can be checked at the rest end point.
Some older versions of MapInfo may not support GDA2020 - https://support.pitneybowes.com/VFP05_KnowledgeWithSidebarHowTo?id=kA11E000000D0SLSA0&popup=false&lang=en_US , please contact Pitney Bowes Support if you have any questions about this.