I did a simplified version of this with one decider and one arithmetic. It may help in future circuits :)

factorio rocket counter.png
In the BP, the requester chests need to be populated and I included the values for each productivity module stored in constant combinators.

0eNrtXVtv6kYQ/i+W ...

I got this idea being frustrated that other shift register designs only carry one signal, and most need to be 'primed'. This is a simple 3 combinator per cell shift register capable of transferring every signal minus the clock signal. In the example, the red wire on each cell is it's memory output ...