Ok since I had a Vice and a Closer and a Critical trigger for the Vice, I did an experiment:
Pic of Vice with Critical:
**Note:Critical trigger's forward travel is stopped by the top of the trigger frame.**
Pic of Closer with Critical:
**Note: Looks like it fits. The length, width and trigger screw all fits.**
BUT this is why it won't work:
**Note: Critical's forward travel is not stopped. So the trigger goes all the way up the trigger frame.**
I think Critical intentionally made it that way to sell more of them. If the trigger's top is made a little longer, it will touch the trigger frame on the Closer - and it will work. The S-Class triggers can be interchanged between Vice and Closers, but not Critical triggers.