Answer
No, the composition of the mixtures in these flasks will be equal.
Work Step by Step
Since the initial concentrations are equivalent: 1.0 mole of $H_2$ and 1.0 mole of $CO_2$ are capable of producing 1.0 mole of $H_2O$ and 1.0 mole of $CO$, and vice versa, the equilibrium will be reached at the same concentrations, independent of the initial ones.
