Ok, I prefer autos, in general, but it still goes back to the individual.
However, some people fixate on caliber, and some on capacity... Some other considerations I'll throw in, re auto vs revolver (sorry, old guys, for beating a dead horse....)
Auto
Pro:
Can have higher capacity;
Given similar power, has softer recoil due to slide reciprocation absorbing energy;
Can have SA or DA/SA for those who like that;
9mm ammo is about as cheap as decent factory SD ammo gets;
Normally has lower bore axis than revolvers, resulting in less muzzle flip;
Backstrap design can make it easy to always get same, high grip on draw.
Con:
Is it loaded? Is round chambered?
Has to be tested extensively to confirm reliability of each and every round type one might use;
Can be disabled at close quarters if BG pushes out of battery, OR if shooter pushes gun into BG at extreme close quarters;
Complex controls may pose problem for less trained shooters, especially during adrenaline dump;
Magazines are usually the weak point, but ammo that is too hot or too mild is probably a close second.
Revolver
Pro: Simple to use;
Obvious when loaded;
No magazine springs to worry about if gun left loaded for long time (note: ammo may not be good, depending on how long we are talking about...);
Will feed ANY bullet profile desired;
Much wider variety of aftermarket grip shapes available, as there is no magazine well to support;
In the event of a dud round, pulling the trigger to get to a new round is faster than even the simplest auto stoppage drill;
Will not be pushed out of battery if shoved into target (but can be disabled if BG grabs cylinder or gets thumb under hammer, if applicable; hammerless 342/442/642 are probably the hardest guns out there to disable, from the BG perspective);
Will accept any power loading legal for caliber, no slide and recoil spring, no auto-ejection to worry about;
Hammerless and shrouded-hammer types are reliable even when fired from inside a pocket, no hammer or slide movement to get snagged in fabric.
Con: Capacity ranges from 5 to 9 (if we count .22);
Many shooters are not good at DA, and cocking the hammer takes time and coordination that may not be available (note: PRACTICE DA if you use a DA revolver for SD!!!!)
No slide or recoil spring means more recoil energy transfers directly to shooter;
Higher bore axis results in more muzzle rise;
Higher bore axis can also result in more muzzle pulldown during trigger pull;
Tendency of many revolver shooters to think revolvers never fail, and hence never train to deal with problems or carry/own a backup weapon.
For the shooter who doesn't want to spend the money to verify SD ammo function, the revolver is probably better.
For the shooter who doesn't want to spend the money or time required to verify long-term reliability of magazines (hundreds of rounds through each), the revolver is probably better.
For the shooter who doesn't want to spend a lot of time practicing stoppage clearing drills, the revolver is probably better.
For the shooter who wants to be able to shoot more than one shot from a pocket, it's hard to beat the 442 and family of revolvers.
For the shooter who puts in a lot of training time, and who has the money to burn a lot of SD ammo and to run a good round count through any defensive magazines, it's hard to argue against the higher capacity and faster follow-up capability of an auto.
But .38 vs 9mm? Again, who cares?
Note: My typical carry in cold weather is an auto, IWB, and a 442 in my weak-hand coat pocket. I like both. Guess what combo my nightstand guns are...
Edit: Greg, you might want to add a third option to your poll, along the lines of "Either will do, if the shooter does his part."