I know the $30k mark is germane to the original article but I deliberately refrained from putting a quantifiable value on where this "dependency" tipping point may be. For one, I don't know and two, it probably changes with other variables like location, number of dependents etc. In some areas, I imagine $30k is enough to need no assistance while in others life becomes unmanageable without it.
I would say that most/all subsidies are in place because they are viewed as a social good. I would also say regardless of where that subsidy qualification point is, it can be destabilizing in the fact that it moves people away from self-sufficiency. When people feel financially insecure, they tend to avoid the kinds of choices that may lead to a more stable society...buying a house, starting a family, starting a business, etc.
Maybe I'm 180 degrees off here. There's certainly been an argument that government subsidies make a society more stable and not less. I've heard some even refer to it as "revolution insurance" for that same reason.
Here's a different take on it: subsidies tend to help both the upper and lower ends of the economic strata. The lower benefits directly and, in cases of business elite, they may benefit from effectively being able to maintain lower wages. So who gets pinched? The middle class, which I think most would feel are necessary for a stable society. Some of our biggest gains as a country came from when the middle class made the largest strides. Not sure I know enough to make that claim, but it's one that's bandied about.