It really depends on the circumstance, and frankly those articles pretty much outlined my opinion. I'm fortunate that I came from a pretty financially conservative home so that really rubbed off on me. At this point the only debt I carry is student loans, and those are at a third of what they were when I graduated in '02. I paid my car off last year.
If I was in a position where I had a kid who needed money, the first thing I'd do is decide how much money I could frankly give that I could live without. I wouldn't give to the point where it would put my own finances in jepoardy. The second, provided the debt accrued was due to bad money handling, would be to insist that before my kid got my money that they take some finance classes. I'd also write up a payment schedule that both of us would sign.
But I hope to avoid that by making sure that in the event I ever have a kid, that they learn how to properly handle their money well before they leave my nest. Maybe they'll get "The Millionaire Next Door" for their 12th birthday or something like that