Look, I like you, I genuinely do, but you're definitely wrong on this one, so I'm hoping that you'll reevaluate your present stance after reading what I'm about to say.
Let's start with what Jesus said as is recorded in Luke chapter 10.
Luke chapter 10
[1] After these things the Lord appointed other seventy also, and sent them two and two before his face into every city and place, whither he himself would come.
[2] Therefore said he unto them, The harvest truly is great, but the labourers are few: pray ye therefore the Lord of the harvest, that he would send forth labourers into his harvest.
[3] Go your ways: behold, I send you forth as lambs among wolves.
[4] Carry neither purse, nor scrip, nor shoes: and salute no man by the way.
[5] And into whatsoever house ye enter, first say, Peace be to this house.
[6] And if the son of peace be there, your peace shall rest upon it: if not, it shall turn to you again.
[7] And in the same house remain, eating and drinking such things as they give: for the labourer is worthy of his hire. Go not from house to house.
[8] And into whatsoever city ye enter, and they receive you, eat such things as are set before you:
[9] And heal the sick that are therein, and say unto them, The kingdom of God is come nigh unto you.
The CONTEXT here is definitely that of Jesus sending 70 laborers out into the spiritual harvest field. As he sends them forth, he instructs them to "carry neither purse, nor scrip, nor shoes", and instead to remain in that house, if they're received, while "eating and drinking such things as they give you; FOR THE LABORER IS WORTHY OF HIS HIRE".
Well. let's pause here and ask ourselves this very important question:
Who were these 70 working for?
Jesus or the people whose houses they might be entering?
The correct answer is Jesus, as he is the one who sent them forth as his laborers in his spiritual harvest field.
With such being the case, their "hire" was his responsibility, and he informed them that he would basically pay them through the people that they were ministering to. You know, sort of like what Paul said here to the Corinthians:
I Corinthians chapter 9
[7] Who goeth a warfare any time at his own charges? who planteth a vineyard, and eateth not of the fruit thereof? or who feedeth a flock, and eateth not of the milk of the flock?
[8] Say I these things as a man? or saith not the law the same also?
[9] For it is written in the law of Moses, Thou shalt not muzzle the mouth of the ox that treadeth out the corn. Doth God take care for oxen?
[10] Or saith he it altogether for our sakes? For our sakes, no doubt, this is written: that he that ploweth should plow in hope; and that he that thresheth in hope should be partaker of his hope.
[11] If we have sown unto you spiritual things, is it a great thing if we shall reap your carnal things?
[12] If others be partakers of this power over you, are not we rather? Nevertheless we have not used this power; but suffer all things, lest we should hinder the gospel of Christ.
[13] Do ye not know that they which minister about holy things live of the things of the temple? and they which wait at the alter are partakers with the alter?
[14] Even so hath the Lord ordained that they which preach the gospel should live of the gospel.
God has ordained that they which preach the gospel should live of the gospel in the sense that those who are sowing spiritual things to others will oftentimes reap carnal or natural things back in return. In fact, Paul quoted Deuteronomy 25:4 here (vs. 9), just like he did in I Timothy 5:18 along with Luke 10:7.
THIS is the context.
Christians who are working for the Lord or the gospel's sake reaping natural provisions from those to whom they are sowing spiritual things.
Now, IN CONTEXT, what does any of this allegedly have to do with either Leviticus 19:13 or Deuteronomy 24:14-15?
"Thou shalt not defraud thy neighbour, neither rob him: the wages of him that is hired shall not abide with thee all night until the morning." (Lev. 19:13)
"Thou shalt not oppress an hired servant that is poor and needy, whether he be of thy brethren, or of thy strangers that are in thy land within thy gates: At his day thou shalt give him his hire, neither shall the sun go down upon it; for he is poor, and setteth his heart upon it: lest he cry against thee unto the LORD, and it be sin unto thee." (Deut. 24:14-15)
Both of these references are in relation to people who have hired someone to do work for them, and how they're to pay them their wages before the sun goes down, and not to oppress them because they're relying on said wages.
We're talking apples and oranges here in that neither of these two verses have anything even remotely to do with what Jesus actually said in Luke 10:7 or with what Paul consequently quoted in I Timothy 5:18. In both of those instances, the CONTEXT is Christian servitude to Christ.
That's just reality, so I sincerely hope that you reconsider your presently-held belief in this matter.