The lateral force you describe indicate the amount of force that the Simson connector can transfer to the column. Now, the load is in the column. The stability of the column (bending stress and deflection at the tip), now, will be a function of the support condition at the base. If it is pinned (as in any type of post base connectors provided by Simpson), it cannot resist any bending moment present in the column. it is a mechanism. Post must be "fixed" to ensure structural stability.
If you have a bunch of these columns in a row, it will form a flimsy frame. Although the PC's have nominal moment resisting capacities, it is negligible, thus I wouldn't be able to rely upon a frame action.
Then again, I am an engineer from California. Serious seismic zone.
Any other engineers have any thoughts on this topic?