Would it though? From what I understand EU has way better social safety nets, yet much smaller entrepreneurship rates compared to USA.
Counter-intuitively, limitations drive innovations. When your resources are limited, you are forced to innovate. When you have infinite resources, you tend to waste it. Ever notice that when you have infinite time, you waste it doing nothing, but when your time is extremely constrained, you tend to use it much more effectively? Same thing happens with companies and money. Read: NASA, Texas Instruments developing laser guided bombs, etc.
For example, because TI had such a limited budget for developing laser guided bombs, they couldn't afford a wind tunnel like their defense-contractor competition. So they dropped scale models of bombs into swimming pools and performed mathematical transformations on the measurements. TI's design ended up being far more innovative and outperformed their money-flush competitors[0]
All that said, I think there is some truth to what you say. If healthcare were decoupled from employers, I would be much more likely to leave my current company and start my own since that is one thing holding me back.