Site breaks when page contains an unpublishable item

We have just upgraded from 8.2 to 9.3 and some behaviour has changed.

In 8.2, when I make an item unpublishable and publish to cm/cd, the page loads fine without that item.

In 9.3, the page doesn’t load and instead gives a datasource not set error.

I assume it’s due to some changes in Sitecore’s api but can’t find where that would be.

Any advice would be greatly appreciated.