Hello Daniel,
Thanks for updating the thread.
I am sorry for the confusion. I can now confirm the issue on the website. In my local dev setup, I have also tested the hide during breakpoint of tabs element in global block and added the same to a page. I am able to replicate the problem in my setup too.
I am taking adding this into our internal issue tracker for our developer to take a look. At this moment I am not in a position to share ETA but I can assure you that the same will be looked at by our developers.
Thanks for bringing this to our notice.