Let's note the question was of helping / not helping those who will not ,( not cannot ) help themselves .
For if there be first a willing mind, it is accepted according to that a man hath, and not according to that he hath not.
For I mean not that other men be eased, and ye burdened:
But by an equality, that now at this time your abundance may be a supply for their want, that their abundance also may be a supply for your want: that there may be equality. <-----> 2nd Corinthians 8:12-14
Clearly , the help (that those who have given up on doing what they can to help themself) are in need of is spiritual in nature . They are those with a wounded spirit .
The Gospel of Jesus Christ is able to heal our wounded spirit , if we can hear it .
Those who can hear Christ's Gospel will respond positively , and show real evidence of their spirit being healed . These stand to benefit the most from other helpful acts of charity .
Those who cannot hear The Gospel will not respond positively , and consequently will not be able to truly benefit from lesser forms of sharing ... but that may change - yet , it usually takes a cessation of the enablement which allows one to continue " getting by " , as an unbeliever .
If there come any unto you, and bring not this doctrine, [The Doctrine of Christ ] receive him not into your house, neither bid him God speed:
For he that biddeth him God speed is partaker of his evil deeds. <-----> 2nd John 1:10+11
As we have therefore opportunity, let us do good unto all men, especially unto them who are of the household of faith. <-----> Galatians 6:10
When Jesus said -
...When thou makest a feast, call the poor, the maimed, the lame, the blind:
And thou shalt be blessed; for they cannot recompense thee: for thou shalt be recompensed at the resurrection of the just. <-----> Luke 14:13+14
He didn't specify whether such were guilty , or not of not helping themselves ...
However , when many began to follow Jesus for the " free food " , he basically rebuked them .
Jesus answered them and said, Verily, verily, I say unto you, Ye seek me, not because ye saw the miracles, but because ye did eat of the loaves, and were filled.
Labour not for the meat which perisheth, but for that meat which endureth unto everlasting life, which the Son of man shall give unto you: for him hath God the Father sealed. <-----> John 6:26+27
And said things which severed the " appetite driven " from those who were faith led .
Then Jesus said unto them, Verily, verily, I say unto you, Except ye eat the flesh of the Son of man, and drink his blood, ye have no life in you....
Many therefore of his disciples, when they had heard this, said, This is an hard saying; who can hear it? ...
From that time many of his disciples went back, and walked no more with him. <-----> John 6:53, 60 + 66
Because He knew that feeding people physically who presently had little , or no interest in feeding spiritually was not only insufficient for Salvation , but would adversely encumber His Ministry .
Nevertheless , whenever any demonstrated that Christ's Father had given them a softened heart capable of believing , Jesus welcomed them into His Fold .
All that the Father giveth me shall come to me; and him that cometh to me I will in no wise cast out. <-----> John 6:37
No man can come to me, except the Father which hath sent me draw him: and I will raise him up at the last day. <-----> John 6:44
In summary - Our charity should always have The Gospel integrated within it from start to finish ; and those who respond well to The Gospel of Christ , are best suited for the further investing of our labor of love unto good fruit that will bring glory to God .
Peace and Joy , in Christ's Righteousness.
wm