I bought a 625. I should put in a disclaimer, I am not super competitive. I shoot what I carry daily and that has always been an N frame Smith or a 1911, also a Smith & Wesson. TO be dead honest I think the 627 covers the most bases. It can be used to hunt, it makes a fantastic self defense choice, and 38/.357 is a lot easier to reload for in a revolver. I bought a 625 because I cast bullets and a 45 acp is a little easier to make good cast bullets for. I can also use it for IDPA as it has a 4" barrel.
With that said, I am going to be saving my lunch money, literally, for a 627 this year. My personal opinion is that a 627, 5" barrel and some good, hot 357 magnum factory loads would have to be just about the ultimate carry gun. My 625 JM with good factory loads is no slouch for hunting or self defense, either. Most of my kills on game have been with cast hollow points loafing along at 1000-1100 fps in a 44 magnum anyway. 45 acp will do this just fine with a 180-200 grain cast hollow point or with a speer gold dot factory load. Bear in mind I weigh 20 stone and work on the farm. An N frame probably Wouldn't work as a carry gun for a "professional" who works in an office. It just doesn't make sense to me to have a bunch of different guns for sport, hunting, and EDC. If I could shoot USPSA major with the .357, if I could shoot IDPA with the 5" barrel.....627, no questions asked. For now it makes sense to have both, and I got the 625 first because it was available, and it works out better with the local club. When I get the 627, I may sell the 625 ( NOT!).