We are currently using the Content Type Hub to push out a few custom content types, however, I've recently changed the document template at the CTH level, republished them and none of our site collections have seemingly pulled the new document templates through - am I right in thinking that the CTH will push everything down except the document templates and they have to be changed locally?
If I do need to change them on a per site basis, Is there a way I can change them programmatically (CSOM, PnP etc)?
PnP doesn't update Document Templates either. So far I have found content type hubs in Office 365 a real pain and I would not recommend using them. I'm not aware of any way to populate the templates other than copying the template files into the right locations