These are usually market gimmicks. They say a cow is pastured raised if they leave it out an hour a day, grass-fed if it gets fed half the diet in grass the other in grains, etc.
The costs of raising cattle and producing dairy in that way would simply not allow to meet the demand and it will never happen. Factory farms are the reality of what it takes to produce dairy for so many people.
Ultimately, in the end the result the animal dies a horrible death after having lived often a horrible live, so there is nothing humane about that.