Hi Michael,

Firstly, I would like to sincerely apologize for the delayed response as we have been experiencing an unusually high number of tickets. I am sorry that it has taken longer than usual to respond to your concern and your patience is highly appreciated.

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I can see a Manual Table ID 1 on this page,

but not sure how it should look as you said that some table lost formatting, this is a screenshot how it looks for me :

I notice these console errors, but not sure if they are related to our tables, does not seem so.

Can you tell me do all tables load and look OK at the back-end,

and the issue only happens on front-end?

If that is the case,

wpDataTables is a WYSIWYG (What You See Is What You Get) concept-based plugin. This means that the table should look the same both in the back-end and in the front-end. If your front-end table looks and behaves differently than in the back-end, this usually implies that there is another plugin (or the current theme) that's changing the behavior of our plugin.

Can you please change the theme and see if the issue is resolved? If not, then please deactivate all other plugins except for our plugin, refresh the page where the issue is, and see if it is resolved (it should be). If it is, then start activating other plugins one by one, and after each activation refresh the page to see if the issue occurred. 

Once it does reoccur, you will have found the plugin causing the issue.

Let me know if you isolate a conflict/  what seems to be blocking the tables on front-end for non-logged users and changing the formatting?

Thank you.