I would only ever use a back up to get out of the water safely. I would just can my diving for the day if my primary broke or take do a conservative dive. I am of the opinion that unless you are doing Tech or cave there is absolutely no need for a back up. Its over kill IMO. However each to their own. But then I've never really seen a decent computer break underwater. I also don't dive solo either. And I live two hours from the red sea. I can understand people worrying about it when they go on holiday etc.
I certainly wouldn't run two different computers. Its like trying to please two different people who have different and sometimes conflicting ideas about how you should safely get out of the water.
I am also lucky enough to be able to dive without a computer tracking my tissues and do the calculations on the fly if I should so wish through the training provided by my agency. So I have many options open to me. Like sometimes I run the ratio, sometimes I run with just my perdix in rec mode (when I'm feeling lazy) and sometimes in Tech with a gauge vyper as back up and a plan depending on what type of diving I'm doing for the day.
A good understanding of Deco Proceedures and a conservative approach gives you a lot of flexability.
Happy Diving!
With regards to the OP I think it sounds like the Cressi maybe gave some penalty deco for a missed stop/fast accent or something similar. Or maybe the depth gauge is overreading. Without downloading both profiles its hard to know what really happened.
I'm still waiting for someone to say have three computers and use two to vote one out if its vastly different. Maybe that is too far!!!!