This isn't "calling you out" or whatever people feel it is when they are questioned. I'm going to explain why I don't think what you thought might be, in the comment below, is what you thought it might be.

How's that sentence?
Your vss are...
2Th 3:4 We have confidence in the Lord concerning you, that you are doing and will
continue to do what we command.
2Th 3:5 May the Lord direct your hearts into the love of God and into the steadfastness of Christ.
(what they are DOING, leads them into the love of Christ)
2Th 3:6 Now we command you, brethren, in the name of our Lord Jesus Christ, that you keep away from every
brother who leads an unruly life and not according to the
tradition which you received from us. (some in the CHURCH were leading unruly lives, not as they were taught. We are discussing ill behavior inside the Church here.)
2Th 3:7 For you yourselves know how you ought to follow our example, because we did not act in an undisciplined manner among you,
(sets himself/themselves as the example.)
2Th 3:8 nor did we eat anyone's bread without paying for it, but with labor and hardship we
kept working night and day so that we would not be a burden to any of you;
(The example he/them uses is they didn't depend on the Church, they provided for themselves.)
2Th 3:9 not because we do not have the right
to this, but in order to offer ourselves as a model for you, so that you would follow our example.
(I think from other vss that teachers had a right to be compensated for their works, something a lot of evangelicals and Fraink VIola types of people like to overlook.)
2Th 3:10 For even when we were with you, we used to give you this order:
if anyone is not willing to work, then he is not to eat, either. (The context isn't in helping a homeless person. It's in context to the behavior of those inside the Church.)
2Th 3:11 For we hear that some among you are leading an undisciplined life, doing no work at all, but acting like busybodies.
(Emphasis it's in the Church.)
2Th 3:12 Now such persons we command and exhort in the Lord Jesus Christ to work in quiet fashion and eat their own bread.
(The people he redresses are those he just mentioned inside the Church there.)
2Th 3:13 But as for you, brethren, do not grow weary of doing good.
2Th 3:14 If anyone does not obey our instruction in this letter, take special note of that person and do not associate with him, so that he will be put to shame.
And if someone wishes to say that would cross over to the world, as well, I'd suggest that Paul also said....
1Cr 5:12 For what have I to do with judging outsiders? Do you not judge those who are within
the church?
1Cr 5:13
But those who are outside, God judges. REMOVE THE WICKED MAN FROM AMONG YOURSELVES.
(Those outside the Church are God's to judge.)
Rom 6:13 and do not go on presenting the members of your body to sin
as instruments of unrighteousness; but present yourselves to God as those alive from the dead, and your members
as instruments of righteousness to God.
(We are the tools God uses to execute His will upon the earth.)
Mat 5:44 "But I say to you, love your enemies and pray for those who persecute you,
Mat 5:45 so that you may be sons of your Father who is in heaven;...........
.......continued...
Mat 5:48 "Therefore you are to be perfect, as your heavenly Father is perfect
We are to not judge those outside of the Church (hard to determine if they are worthy or not without judgment of some sort.)
Like the example you brought up above, those within the Church live by other standards. Same as the Jews followed their laws, but "God fearers" didn't live by all the laws.
Those inside the Church are to work for their bread, which meant not be lazy and depend on the Church, which some of them are noted as doing in this particular church. AND His comments doesn't address someone down and out on life options either. The assumption we should make is those addressed are healthy and capable, as after the vss I posted He warns them to continue to DO GOOD....
We are the instruments God uses for sharing His love to the people.
And we are to love everyone, even our enemies, same as God does, just as completely. So, with the examples Jesus gave of loving neighbor being feed the poor, clothe the needy, etc...
I don't see how we have a right to determine someone who asks isn't worthy of charity. UNLESS they are a brother, in the Church, you have direct interaction with, and should call them out.
If they ask for your coat, give them your shirt.... matt 5, doesn't read if they NEED your coat.
Paul said, "if a man will not work, neither let him eat." Which means there are instances where we judge whether a person ought to receive charity. That's not to say that all homeless people, for instance, are unwilling to work, only to say that I'm not so sure that we are automatically obligated in all cases to give without asking questions. I just wanted to throw that in there, though I would rather have commented after reviewing the relevant verses to see if they say what I think I remember them saying. Time is my enemy.