My totally off-the-cuff guess is that there is no causal link between social safety nets (like government provided health care) and a lower rate of entrepreneur

My totally off-the-cuff guess is that there is no causal link between social safety nets (like government provided health care) and a lower rate of entrepreneurship. If there is a correlation, I'm guessing it is that governments that take active responsibility for the wellbeing of their citizens also institute regulations which may make starting businesses more difficult. In other words, active governments are more active in general, not just limited to the safety net.