So I believe I’ve located the problem. I created a new local site and installed timber, the timber debug bar, and the events calendar plugin.
On my local site, the plugin displays correctly. However, on my separate development site I noticed that my events plugin is using page.twig template instead of page-plugin.twig.
For testing purposes, I edited page.php to point to page-plugin.php just to see if the content would render correctly, but all of my pages related to the plugin are still completely blank.
Why would my local site be rendering the plugin correctly but my development site not? Both my base.twig, page-plugin.twig, and page.php files are identical. Both sites are using the same plugin version.