Hi,
Thanks for using our plugins. I can help out here.
First we are not SEO experts and not able to provide SEO advice on how Google will react to the content of your site. In the end you will have to make determinations based on what you think is best for your site and what your goals are.
Our events include structured data so that Google can tell they are events, so we will fix that if broken, beyond that we are limited in supporting changes.
All our templates can be customized following our themer’s guide to produce the results you would like.
https://theeventscalendar.com/knowledgebase/themers-guide/
And you could use any of these conditionals to add coding into the head of your site to change how Google views the content:
https://gist.github.com/jesseeproductions/903f5ca75877b713c674
Another option is to load Yoast SEO or another plugin and use their settings to change how Google views the events.
Let me know if you have any follow up questions.
Thanks