No study has been conducted. I think you should perhaps go back to the DesRochers decision, which resulted in the filter I was talking about earlier. The DesRochers decision indicates that communications should be of equal quality. There is no equality when we are dealing with a robot language and an idiomatic language. All that does is reinforce asymmetry in terms of official languages.
On April 13th, 2016. See this statement in context.