I have not looked, but I can not recall a sd shooting that required more than 7 shots. Do u really think u will be in a shooting that required 13 shots. If you are carrying a smaller caliber handgun bc it holds more rounds you are extremely likely to never use, I don't see that as an advantage.If they both do roughly the same damage, probably doesn’t matter all that much. That said, I do have 5 shot revolvers that I carry... 38, 357 and 44 special... I like that the .44 ales a bigger hole, but holds the same number of rounds, weights roughly the same, etc...
I think that when you are comparing a like number of rounds then sure, go with the bigger caliber... but when it is 7 rounds versus 13, plus a weight and recoil penalty, then I think it favors the 9mm