Great, folks this is what I was hoping for! People discussing how they do things and why.
I think I have tried almost everything.
I was trained throughout my trimix training and subsequent dives to use V-Planner and a bottom timer.
This is how I dive: Plan on V-planner, print tables, laminate, dive the plan, in case of deviation from the plan follow multi gas computer and use ratio deco to check multi gas computer. Why mnemonics? To kill the time during deco

I am deviating so I am in a "I have messed up something" mode and I am doing a non planned dive.
Being able to calculate is much more important with no direct access to surface (cave-no DSMB) otherwise computer is good enough: if you are deviating (unless you are rescuing somebody ...) you are also aborting straight to deco and computer calculated TTS should suffice. But it also works as computer sanity check.
I haven't done a huge amount of staged decompression diving, but it's all been planned and executed using Ratio Deco.
I think I have tried almost everything.
... but I wondered about my ability to make appropriate decisions in case something really unusual happened that made me depart far from the plan. That is what happened to Rob. It also happened to two friends of mine recently.
.....
On my last dives, I did the preplanning on the Petrel and wrote those plans down. I then just followed the Petrel, using the written contingency plans for backup. My buddy did the same thing, so we were using identical computers with identical settings to be able to check against each other.
BoulderJohn, did you have a bottom timer or if your petrel went belly up you would rely on your team mate for time/depth?
In my view, two points here: doing math in the water and under pressure

and team based redundancy

.
When things are fine we handle task loading better but if you are under stress can you count on getting ratio deco sorted out? Do you have a sanity check?
Team redundancy on critical items (gas you breathe) to me is not a great option (I know and I am looking into rebreathers, that rebreather divers do it). For less critical items it might be an option but what if your team mate was shallower (it already was out of position ...) dives a different computer (are you already intimately confident on how
yours works and you learned his) and you are absolutely sure he did not change any critical parameter because you went through the computers setup together ...
Recently I took a trimix class and again I don't have the right computer, so I'm back to tables again. I now know a LOT more about deco theory than I did during previous courses but having dived with a computer for 10 years I'm experiencing the limitations of tables in a different way. A recent experience (that you will know about, fsardone), convinced me that we really should be viewing a computer as mandatory equipment at this level. The problem was precipitated by communication problems, but not having a computer made me feel that "time pressure" again, when in reality options were available by which diving tables made following up difficult.
R..
I do agree that having a (or two?) computer able to calculate the dive profile you plan should be on the Minimum Equipment List for the dive ... I also strongly believe that you should be planning the dive and have backup tables, having two computer of the same brand model might not be backup but risk being two failures of the same kind (a software bug triggered by same sequence will be probably triggered in both) when it hits the fan you need to be able to come up with something sensible, and team sometime do break down.
In my view being able to dive with a fool proof dive timer (simple, robust and sealed) and tables, being able to calculate ratio deco and having a dive computer along gives me 2 depth timers/2 way to calculate deco according to profile I dove plus my plan ...
How much self sufficiency would you like to have in tech diving? And particularly for deco planning and execution?
Cheers
Fabio