What you describe doesn't do the same thing. It might be stated as "Differences to base project".
But the button in Paratext (which works exactly like the button in Back Translation projects) opens the history with the base project set to two different dates. One date is when you first marked box in the Daughter (or BT) project as "checked" and the second date is the current one. So you can see everything that changed in the base project between those periods of time.
But based on the answer I think you verified that PT Lite doesn't have that functionality built it. Thank you for the response.