For context, I assume you are talking about the Prompt runs per user slider found on the CONTROL PANEL page of an individual Pickaxe. I’ve included a screenshot so that we’re both on the same page.
The answer is this WILL NOT AFFECT STUDIOS. This setting only controls embedded instances of this Pickaxe on other websites. Here’s a brief help post on this feature. It’s not the most clear labeling and we realize that. In our upcoming redesign this will be much more clearly labeled and explained.