Hi @Araminta,
We have isolated the cause of this issue.
Applying any visibility conditions to the default WooCommerce templates causes them to appear blank.
As a secondary factor, for anyone that is interested, using Permalink Manager Pro to change the WooCommerce related URLs also causes the templates to break.
Fortunately, both removing any visibility conditions and using WooCommerce’s built-in permalink editing gives us the result we need, so everything is working as expected now.