Thanks for the report! This have been an issue on our list that reparenting folders could fail to trigger a render update, for short term fix of your case specifically, you could try either of those methods:
putting those objects under the folder into a transparent frame instead, which theoretically would correctly trigger the visibility update when reparented.
move folders into / outside ScreenGuis whenever need it / no longer need it to display.
The latter would also benefit with input processing.