I created a content type with 3 fields and added it to 12 sites across the tenant. I then add a 4th column to the Content Type Gallery (Modern) and click republish. Shouldn't this new column propagate to all lists inheriting from the Hub Content Type? The only way to get the new column to show at the List level is to remove and re-add the Content Type but I don't want to do that to 12 sites because in a month it could be 50 sites.
What am I missing with this Content Type Rebuplishing feature? Should I use Site Content Types instead?