Hey! I also ran into this problem. If you open a template without installing any of the fonts you should get a pop-up in Publisher about missing fonts, which should lead you to the following messages in the font manager. 
The missing fonts are ITC Serif Gothic, AndroclesOpti-Heave and Futura PT. You can fix this as follows.
- AndroclesOpti-Heavy is included in the zipfile of the templates in its own separate folder. Just install the font inside that folder.
- ITC Serif Gothic is a font that is free for commercial use and can be downloaded from various places, such as https://www.freefonts.io/itc-serif-gothic-font/.
- Futura PT can be downloaded as well, but looking into it while writing this response, it seems to be free for personal use only. https://www.dafontfree.io/futura-pt-font/
I'm guessing the absence of the latter two fonts went under watt's radar because these were already installed on their machine. I'll check in with watt.