Your assumption would be incorrect. I, along with my various employers, have diligently relinquished (through threat of force) a percentage of my compensation for over 40 years to ensure that I may possibly receive a stipend in my declining years. If I had been allowed a choice in the matter, I'm pretty sure I would have kept the money and came out way ahead through diligent investment and planning. Without that choice, I'll take the stipend if it's available. I say that I believe I'd come out way ahead because I've actually done quite well over the long term using portions of my compensation that the government allowed me to keep to fund our post employment life.
It hasn't been easy over the years, but in the end, assuming responsibility for yourself is so much more rewarding.