Currently, if you export to CSV, most third party addon data such as Checklist (the app currently in question) gets exported along with the appropriate fields. However, if you choose to "Export to Word", the checklist data is non-existent and does not export with any number of issues.

Support for the "Export to word" feature to include the third party application data (as it is more supported in CSV exports) would be useful for users who need the issues in that format as opposed to CSV.