This is worth doing on paper before it is done with a purchase order, because the arithmetic is unkind and entirely predictable.
Time at a field of view divides into work that parallelizes and work that does not. Channel exposure and readout parallelize; that is exactly what extra cameras buy. Moving the stage, waiting for it to settle, and autofocusing do not: they happen once per field regardless of how many sensors are watching.
Take a plate scan where 60% of the per-field time is stage and focus and 40% is acquiring four channels in sequence. Add three more cameras so all four channels are simultaneous, and the acquisition fraction drops from 0.40 to 0.10. Total per-field time goes from 1.00 to 0.70, so the scan runs 1.43× faster, not 4×. Two cameras give 0.60 + 0.20 = 0.80, which is 1.25×. The second camera delivered most of what was available and the third and fourth split what was left.
The ceiling is fixed by the part that does not parallelize: even with infinite cameras this scan cannot beat 1/0.60 = 1.67×. If that is not the improvement you were promised, the honest next step is to measure your own split before buying anything, because the same argument that limits the gain also tells you where the gain actually is.