Push content types from Content Type Gallery to a hub

Previously I have been using the old Content Type Syndication Hub to distribute custom content types to all my sites. However, I was frustrated by how long it took to publish changes and have been looking to move to SharePoint new modern Content Type Gallery feature (https://techcommunity.microsoft.com/t5/microsoft-sharepoint-blog/modernizing-sharepoint-managed-metadata-services-mms/ba-p/1277450 and https://www.intelogy.co.uk/blog/diving-into-sharepoint-onlines-revamped-term-store-and-content-type-gallery/. 

On Microsoft's site, they specifically say you can push content types from the Gallery to hub sites for distribution to associated sites, and they even show this feature in a video: https://docs.microsoft.com/en-us/microsoft-365/contentunderstanding/push-content-type-to-hub 

However, on my view, I have no option to push content types to a hub. (This is a brand new 'test' content type so there shouldn't be a problem with it being from a legacy content type hub, and I do have a proper modern hub site and associated sites).

Is there some hidden setting I need to turn on to enable this feature?

EDIT: Or perhaps this feature isn't necessary, since types in the Content Type Gallery automatically push to all sites in my tenant? (But if so, why does Microsoft document the feature...?)