One needs to interpret that judgment in light of the verses that preceded it, thus Scripture interpreting Scripture. Starting towards the end of Matthew 24 then continuing in Matthew 25, Jesus was describing two types of professed servants of His, profitable and unprofitable. The sheep do the will of the Father, regardless that they might not fully realize it at all times. IOW, it just comes natural to them. It indicates they are humble not arrogant. They just do what is right, regardless. The goats OTOH are professed servants of Christ, where if a fellow brother and sister had a need, such as needing food, and even though they could meet that need, they sent them on their way instead. A good example would be the following.
James 2:14 What doth it profit, my brethren, though a man say he hath faith, and have not works? can faith save him?
15 If a brother or sister be naked, and destitute of daily food,
16 And one of you say unto them, Depart in peace, be ye warmed and filled; notwithstanding ye give them not those things which are needful to the body; what doth it profit?
17 Even so faith, if it hath not works, is dead, being alone.
How can those meant in verse 16 not be the goats? Can they be meaning the sheep?
Matthew 25:41 Then shall he say also unto them on the left hand, Depart from me, ye cursed, into everlasting fire, prepared for the devil and his angels:
42 For I was an hungred, and ye gave me no meat: I was thirsty, and ye gave me no drink:
43 I was a stranger, and ye took me not in: naked, and ye clothed me not: sick, and in prison, and ye visited me not.
44 Then shall they also answer him, saying, Lord, when saw we thee an hungred, or athirst, or a stranger, or naked, or sick, or in prison, and did not minister unto thee?
45 Then shall he answer them, saying, Verily I say unto you, Inasmuch as ye did it not to one of the least of these, ye did it not to me.
Look what verse 45 indicates. Now compare that with James 2:16. How can those meant in verse 16 not be the goats? Can they be meaning the sheep? Who is James addressing in that passage? Is it not the brethren? Doesn't that mean in verse 16, And one of you say unto them, IOW if one of you, the brethren, say unto them, Depart in peace, be ye warmed and filled; notwithstanding ye give them not those things which are needful to the body; what doth it profit?
Would that be something the sheep recorded in Matthew 25 would do? If it isn't, how can that not be what the goats would do then? Don't some of you even think logic counts for anything? How is it logical that if the brethren meant in James 2 are meaning those that profess Christ, and that these recorded in verse 16 are not anything the sheep would do, that this still does not mean they are the goats in Matthew 25 then. If they are not the goats in Matthew 25 they have to be the sheep then, except the sheep don't do things like this. That is a contradiction.
Why are some not interested in what the Scriptures are teaching, but instead seem to be more interested in winning the argument no matter what, that only they can be correct, not the Scriptures themselves? God forbid that the Scriptures be correct if it contradicts what I'm concluding. In the James 2 passage, atheists, for example, are not meant here, the brethren are meant here in regards to how the brethren treat one another over all.
Others can believe what they want. Others can believe they are correct not the Scriptures. Me, I'm sticking with believing and agreeing with the Scriptures. There is no way the goats in Matthew 25 are not meaning unprofitable servants of Christ. Only someone of the OSAS camp might deny that Christ has unprofitable servants, and that their fate in the end is the LOF. Why would any one of the NOSAS camp deny it as well?