Good evening Richard and welcome to the Events Calendar forum!
Thank you for your interest in our products.
We’ll be glad to answer your questions.
Trouble is the events calendar(s) “pages” are not actual WP posts or pages so we cannot control it in that manner.
That is correct, our main calendar uses WordPress Archives to display.
Would a solution be to add the calendar to a traditional WP page using shortcodes? (PRO version needed I guess?)
Absolutely. Grabbing a copy of the Events Calendar Pro and using full view shortcodes will work like a charm: https://theeventscalendar.com/knowledgebase/embedding-calendar-views-tribe_events-shortcode/
Another solution would be to use the Events Calendar’s SAAS sibling: Loxi (https://loxi.io/)
Since a Loxi calendar can be embedded on any page it will also work.
As a side note, we offer Migration from the Events Calendar to Loxi for free 🙂
Have a great day!
Geoff B.