Hi Nico,
Thanks for checking out our plugins!
I am not familiar with that particular plugin, but you are correct that The Events Calendar creates a custom “tribe-events” post type. Tickets are essentially WooCommerce simple products. So, it is possible that you could use this plugin with our products, but you would really need to test it out to be sure. Regarding the permissions, you may need to do a little bit of adjusting in the code to get those working correctly.
We do offer the Community Events and Community Tickets plugins to allow users to create events and sell tickets from the front-end of your site, without having to have an admin account. However, it sounds like in this situation you would want to stick with Event Tickets Plus since you want your users to have access to some of the backend features like sales reports.
If you would like to test it out, we do offer full refunds within 30 days, so feel free to do so! Please let me know if you have any other questions.
Thanks,
Jennifer