Hello Warren,
Thank you for your question and I am happy to assist you with this.
I am sure you understand that we cannot test W3 Total Cache with all plugins out there so I cannot give you a straightforward answer.
I’ve never heard about the plugin you are mentioning before. Can you please confirm this is the plugin you are referring to:
Threepress
In order to find out which W3TC setting might be causing this, please disable the settings one by one in Performance>general settings, save the settings and purge the cache after each setting is disabled and see which one might be causing the issue.
Thank you!