Thank you for getting in touch. The forum posts are indeed public, however all the links that you've posted to your site are hidden.
Only a supporter or yourself can actually see these links. If you view the forum while logged out you will see that all the links to your site are private.
So there is no need to go through and remove them.
The forums are public as mentioned, however the Links that you've sent in the forum posts will be private. So if you search for your posts in Google, they will show up but if you click the link you will see your website links are private.
The forums are intentionally public in order to aid other clients who may need assistance with similar issues.
However from your last post with the screenshot it would appear that you are referring to the screenshot that was uploaded to the post. In this case I've removed the screenshot from your post.
I do not have any problem the post being public as long as my site is not identifiable. As long as you edited to delete or change keyword which triggers google to index. That should work. Google Index refresh might take a while so we might need wait a little to reflect the change.
Thanks for the clarity, i've checked all 3 tickets and ensured that all links to your site and mentions of your site name has been removed.
You can go ahead and double check to see if all the mentions in the thread has been removed. If there are issues please let me know and i'll be more than happy to give it another look.