This issue was classified as a feature request as there is no support for the manualColumnMove with hiddenColumns within the nestedHeaders plugin. Alone, all those plugins work well. However, combining them together would require additional logic within the nestedHeaders plugin.
We are currently working on a new React wrapper and Themes, which will surely take us another 2-3 months.
We have your forum ID and topic linked to the main issue in the internal issue board and will surely notify you once it is ready.
Thank you for your patience.