First I want to thank you for your patience and help in this issue. I am currently working with support but in case anyone reading the forum is curious later down the road, the issue is partially resolved.
The new registration seems to take, and persist between saves, but whenever an older project that used Kick 2 is loaded initially, the Kick 2 starts in evaluation mode. I can delete the plugin, add it back, and it starts as registered, and I need to re-select the preset I used. It then seems to operate normally until the next time I re-load the project.
A brand new project seems to work fine. I can start a new one, add Kick 2, select my preset, save, close, and re-open that new project, which all works normally, so the current state of the issue seems to only be affecting my projects which were made before the issue started.
As mentioned, support has been great so far once we got in contact and progress is being made, so I will post updates as things move along.
Thank you again for your help.