Final-state-exclusive momentum distributions of fast, forward travelling residual nuclei, following two nucleon removal from fast secondary radioactive beams of projectile nuclei, can and have now been measured. Assuming that the most important reaction mechanism is the sudden direct removal of a pair of nucleons from a set of relatively simple, active shell-model orbital configurations, such distributions were predicted to depend strongly on the total angular momentum I carried by the two

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... ons - the final state spin for spin 0+ projectiles. The sensitivity of these now-accessible observables to specific details of the (correlated) two-nucleon wave functions is of importance. We clarify that it is the total orbital angular momentum L of the two nucleons that is the primary factor in determining the shapes and widths of the calculated momentum distributions. It follows that, with accurate measurements, this dependence upon the L make-up of the two-nucleon wave functions could be used to assess the accuracy of (shell- or many-body) model predictions of these two-nucleon configurations. By use of several tailored examples, with specific combinations of active two-nucleon orbitals, we demonstrate that more subtle structure aspects may be observed, allowing such reactions to probe and/or confirm the details of theoretical model wave functions.