Hey,
Changing the plugin solves the problem too, your logic is only one-sided.
I don’t have access to the server I would need (yours) to troubleshoot your server issue. I can’t fix something I can’t recreate or see any reason for. Over the past 3 years and the thousands of people using this theme, I’m not aware of any that have this issue with any other caching plugin. I’ve personally tested all the major caching plugins and there is no issue using them.
So I can only suggest that you talk with someone who has access to your server and can actually troubleshoot to see whats going on. With access, some simple code inspection should tell all.
If you want to offer a suggestion for the theme that would make this plugin work then I’d be more then happy to consider adding it but as I have no idea what that suggestion would be I can’t see how to help with your server caching issue.
I really would love to help you and love to make this plugin work for you I just have no way to do that without access to a server where this is happening.