Hi Jason. Thanks for your question.
Yes, you must mark the WooCommerce ticket order as Complete in order for it to show up in your list of purchased tickets.
The list of purchased tickets is just that — tickets that have been fully purchased.
You may search for or create a new idea at our plugin’s UserVoice page.
This allows others who are interested in that feature to easily voice their support. We frequently review suggestions there to find out which ones are popular, then we implement as many of them as we can.
Once you post it, feel free to link to it from here in case anyone comes across this forum thread in the future.
Thank you.