It doesn't imply great confidence, it is literally saying a different thing. You seem to think it means the same thing as "scientifically speaking" or "I have e

It doesn't imply great confidence, it is literally saying a different thing. You seem to think it means the same thing as "scientifically speaking" or "I have evidence that". It very often means only "related to statistics". That's it. No epistemological claims needed. "I'm so going to win the lottery" "On average ... no you aren't" / "Statistically speaking ... no you aren't" / "If you work out the odds ... no you aren't" / etc. If I ask you a question about some gambling game, you are going to think about it in a statistical way. I mean you will think in terms of populations and samples and odds, not that you will go perform experiments and then do a statistical analysis of that evidence in order to come to a scientific conclusion.