Here is the ARP defining Kinism which they inveigh against and condemn;
“The belief that God has not ordained the existence of distinct ethnic and racial groups and that these groups should not be preserved and protected . . . It is the conviction that the love of one’s own kind is not a natural and biblical duty, and that the modern drive for ‘multiculturalism’ and ‘universalism’ is not a rebellion against the created order.”
By the way here is Matthew Poole on 1 Tim. 5:8 insisting that the ARP clergy are idiots. Perhaps someone has denied the gospel, but it is not the Kinists by the definition the ARP provided.
“‘But if any provide not for his own, and specially for those of his own house, he hath denied the faith, and is worse than an infidel.’
But if any provide not for his own, and specially for those of his own house: here is a manifest distinction between his own, idiwn, and his own household, oikeiwn, they are distinguished by terms in the Greek, and as to the care which men and women ought to extend to them. By his own he means his relations, all of a man’s family or stock; by his own household, he seemeth to mean those who cohabit with him. The apostle saith that he who is careless of providing for the former, (so far as he is able), but especially for the latter, hath denied the Christian faith, that is, in the practice of it, though in words he professeth it; he liveth not up to the rule of the gospel, which directeth other things. And is worse than an infidel; and is worse than a heathen, that believeth not; because many good-natured heathens do this by the light of nature, and those who do it not, yet are more excusable, being strangers to the obligation of the revealed law of God in the case.”
Matthew Poole
Any fair reading of Poole finds Poole insisting that the ARP clergy and elders who drafted the Kinist document are worse than infidels.