The easiest way to do this if I'm understanding correctly is to move the elements on and off the screen.
In which case, using the BA 4x4 Off Road 200 example.
(pseudo code and I'm rusty so bear with me)
These would go in the X position, not transparency, so that when the trigger for VAR_1 is toggled on, it moves the Chrono background to the middle of the watchface. When it's toggled off, it moves back to -999 (off screen)
The same goes for Weather.. is VAR_1 is toggled on it moves onto the screen, and off when toggled off.
You can get even more advanced with this.. the toggle zones you set up, you can set them up the same way.. so triggers aren't "active" (read: on the screen where they can be tapped) when certain screen are up.
Here's an example:
Hope this helps.. long story short, try using X/Y movements instead of visibility to solve the problem.
EDIT: Sorry this is basically what zhnkrdg is saying.