In my opinion, a person who shuns their offspring or other family, is void of any natural love or affection.
I agree whole heartedily, Paul spoke of them that would do this in the following verse, but note what we should do to them in verse 5
2 Tim 3:1-8
But know this, that in the last days critical times hard to deal with will be here. 2 For men will be lovers of themselves, lovers of money, self-assuming, haughty, blasphemers, disobedient to parents, unthankful, disloyal, 3 having no natural affection, not open to any agreement, slanderers, without self-control, fierce, without love of goodness, 4 betrayers, headstrong, puffed up [with pride], lovers of pleasures rather than lovers of God, 5 having a form of godly devotion but proving false to its power; and from these turn away. 6 For from these arise those men who slyly work their way into households and lead as their captives weak women loaded down with sins, led by various desires, 7 always learning and yet never able to come to an accurate knowledge of truth.
abr