Over the past year, there have been innumerable stories posted here of people who CC and are jumped and need to use their firearm.
I have not seen even a single example of that for people who OC.
The “tactical advantage” that people talk of with CC is a myth, like the Yeti.
Not enough data to say one way or the other. It'd make an interesting study. Maybe we could forward the suggestion to someone like John Lott and see if he has any data that might sway the debate a bit.