This is a much more clear and strong argument, but it is annoying that we had to go round and round. You usually have a decent reasoning behind your beliefs, but most of the time you never every come out and say it clearly so that it can be examined on its merits.
If self reliance is defined by the ability to survive without interaction with other people, that died long before written history began. To horribly butcher Adam Smith's quote, I depend on the baker and the butcher for my food. They do not provide me with food out of the goodness of their hearts, but they do so out of mutual self interest.
The appeal to self reliance is that a person succeeds or fails based on the merits of his own work, which I don't think is a bad thing. If the safety nets of society grow so comfortable that people voluntarily choose them over producing output, those people reduce the wealth of everyone else. If too many people stay in the safety nets, then the safety net will collapse.
Public safety nets are not a necessity of a society. They do not meet a need, it would be possible to have a society without safety nets. They are a form of charity, and investment. The safety nets are the redistribution of wealth from those who have, to those who do not have. A good safety net will catch people who fall on hard times, and save them from the hard stop at the bottom. But, they must also make it easy to climb out of the net and get back to work. At the same time, it is probably best for the safety net to encourage people to get out of the net and back to work. It is better for everyone if we have as many people as possible producing more wealth.
Safety nets are a form of charity in that people usually prefer that other people not suffer. When society creates a safety net, it is an act of charity, where all sacrifice some of their wealth, to catch those who fall.
Safety nets are also a form of investment. As the world changes, progress does not care if it puts people out of business, or makes their job obsolete. Safety nets can help catch workers whose jobs are destroyed from progress and give them a chance to find new work. If the safety nets succeed at doing this, than everyone benefits from the increased output.