Hi Scott - by default hidden lines are shown on all objects. But there is a setting you can change to only show them on selected objects like you show. It sounds like you have set that at some point, and now you need to go and unset that so you get back to the default behavior of showing them on everything.

The setting is under Options > View > "Hidden edges on selected only" checkbox.

This can also be toggled by a shortcut key using the following script for the "command" part of the shortcut key:
script: /* Toggle using hidden edge display for selected objects only */ moi.view.hiddenLinesSelectedOnly = !moi.view.hiddenLinesSelectedOnly;

Hope that does what you need!

- Michael