We have tested this found with dry practice prior you can inoculate yourself from this first round flinch. You can also check this issue by bringing a second rifle to the range. Fire at least ten shots with the first rifle then move to the precision rifle with a perceived cold bore shift. More times than not, the shift will go away.
Suppressors are a tool, and like any tool, they should be used in the proper context. They are broken down into niche applications, from precision rifles to sub-guns with high rates of fire used in close quarters. In other words, you don’t want to mix applications if you can help it. That does not mean you cannot crossover a suppressor from one system to another. The results may vary, the basic principle of sound suppression not as much.