I think I am missing something...whats the statistics thing now?
The party composition is exceedingly unlikely to occur as a result of the random sampling the mindflayers are shown to practice in the intro. Characters who appear to be somewhat normal are somewhat normal in most cases while those who appear to be very strange and are known to hide big secrets tend to be untrustworthy.
Thats why its fun being a DM - you get to scar your players for life and make it so they never trust anything again.
What is the problem you are solving? Does your proposed change solve the problem? Is your change feasible? What else will be affected by your change? Will your change impact revenue? Does your change align with the goals and strategies of the organizations (Larian, WotC)?