Even though I am logged in, the screen shot I uploaded seems to be invisible because it says I can't see it because I am not logged in. But I am logged in.
When you turn a layout object into a button, FileMaker creates a new invisible button object and groups it with the selected object(s) to create a group. This is why ungrouping such a button removes the button functionality.
For object specific properties in the inspector, if you select a grouped object, you see the properties, such as "hide object when" that have been specified for the group, not any one individual object within that group. Thus, when you specify the hide when expression for the button, you see two Hide When badges as that is what you have specified--one hide when expression for the visible object and one for the grouped object that was produced when you used button setup to turn it into a button. You'll find that object names specified in the inspector work the same way.
What we need is a way to use the inspector to see these settings for each individual member of the group as you won't want to ungroup a button just to get to see what properties have been set.
The best workaround for the moment is to wait until you've used button setup to group the object or object(s) with that invisible button object and then you can assign an object name or specify a "hide when" setting.