In theory, they should be the same. Remember these chemicals are designed for a replenished process so any slight variances will not matter as the replenisher chemicals rep into the solution tanks.
Have a look here for some guide on control strip reading
Kodak C41 - scroll down to page 3
Fuji CN16 - scroll down to page 29
Am I naive to expect Flexicolor to match RGB densities of Fuji's CN-16 within 0.02?
IMO the answer is yes.
So long as you are within the control limits (ideally the action limits) you will be ok.
Always remember that you can't read a control strip by eye.
I ran my own minilab for many, many years. I had 3 different C41 processors from Fuji over 35 years. I have used mostly Fuji branded chemicals mainly because of the price. On occasion, I used Champion branded chemicals and swapped between the two. There was no noticeable change.
As I explained in a different post, control strips should be viewed over a period, and plotted onto a graph, that way you can see a drift and make a correction.
Again as with a replenished system, any changes are gradual and easily corrected in plenty of time. Sudden changes or spiles are usually caused by temperature fluctuations or contamination.
I know you are using one shot so extra care must be taken to keep everything consistent
Consistency is the key.