These people aren't really bringing up the only real factor here. Yes, editing helps, but you shouldn't have to do any real serious editing to any great natural light portraits.
The real issue here is light.
The first image is shot under much higher sun, it's harder light, and can easily wash colors out because it's on a higher angle and generally looks bad if you don't know how to use it.
The second image, the one you seem to like, was shot indoors, under lower ambient, where it's softer, and coming from "all over" as opposed to from one specific angle up in the sky.
Don't fall into the trap of thinking that the editing will make the difference, it might HELP fix problems, but if you shoot it really well, you shouldn't have to do much editing at all. If it was all done really well in the camera, then the very minor things will help get an over all better image like white balance.
All the posts + this will help. Buy a scrim also.