Meta data in combination with a template

I make use of page templates per site collection. One for news and another for a new page. We use communication sites in a Hub.

For a new project metadata from the Termstore is used. In the sitepage library, of the site in question, I added an extra column with metadata. When I make a newspost with the template of that site collection, the metadata labels are not shown. It’s not a question of time, the labels are still not shown.

When I make a new template for this site-collection, the metadata labels can be seen. Is this a bug?