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piper,I think it would be better to close off the valves. This is why, because you would still be compressing on the compression stroke, and sucking on the intake stroke.that would take a lot more energy than simply pumping the same air up-and-down. but, I think your car would be the perfect candidate for it.
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It might be better, but I'm dealing (hypothetically) with an engine I've got. An engine change reduces utility and it would probably be cheaper to buy a different car. Where's the fun in that?
The compression stroke and power strokes would balance out minus entropy losses. The intake stroke is still the intake stroke. The exhaust stroke uses less power because there's less pressure and lower velocity through the exhaust valve.
Two solutions for the cat problem.
1) put a diverter valve on the exhaust pipe from the dead bank to a small muffler (to keep the car from sounding like an air compressor). Cat only sees hot exhaust from active cylinders.
2) allow the dead side to suck exhaust from the live side (EGR on steroids). The dead cylinders pass exhaust into the cat.
Instead of closing the valves which is mechanically very difficult, put on a dual intake header/plenum that has a cutoff valve to the switched bank. This is doable.