Hello
My name is Eva, I would be interested to work with you on this.
The reason why this icon disappears is a tiny code that sets "style="display: none;" (don't show) To find the issue should be fairly straight forward, just remove the undesired code and voila. The problem lies in finding it exactly where it happens, and also giving a solution that won't break the plugin at the next update. I would need a full backup of the theme file and the plugin files in order to be able to find the culprit.
Looking forward to hear from you.
Regards
Eva