Hi Sam and thanks for reaching out!
That’s an excellent question. I have not tried using The Events Calendar with Avada Fusion Builder specifically, but do know there are issues with other page builders. I wouldn’t be surprised if there were issues getting these two to play together as well.
Events pages are actually custom post type archives, which is why you won’t see them listed in the WordPress Pages menu — sort of like a Category or Tag archive, which also do no display.
Events Calendar PRO does, however, include shortcodes for embedding the calendar widgets into any page or post. That might be one way to get the effect you’re looking for with a page builder.
Does this help answer your question? Please let me know and I’d be happy to help as best I can.
Cheers!
Geoff