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I don't see how the location of the clutch would effect shifting. As long as one of the shafts can spin freely, the synchros should work fine. One problem I see is the clutch would need to be much stronger, since transmissions multiply torque. Also you would still need the normal flywheel on the engine, plus another spinning disk for the clutch to grip.
And not all sequential trannies need to have the clutch disengaged to shift.
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