The same is true for other sectors that struggle with automation like education.
Monopolized markets are almost always evidence of regulatory failure.
Advocating for "healthy capitalism," is advocating for a system where government sets boundaries and steps in to preserve competition. That places it firmly within the spectrum of government-regulated options, not outside or apart from them.
It's tempting to imagine ideal or the worst versions of each option and then claim, "what I want is none of these." Instead, we should look at whether our preferred scenario is actually possible within the real-world range of choices. In this case, "healthy capitalism" is only possible when government is both the referee and the enforcer, so it's a version of the government option, not a separate path.
However, as it happens I just spent the last weekend accompanying my wife as she was in a hospital. There was actually quite a bit that happened, especially once or l out of the ER and admitted, that I would have felt totally fine if a robot had done it. Half of what the nurses did were things like bringing puke bags, picking up a full puke bags, bringing water, paging the doctor again who wouldn't show up for another 4 hours, explaining how to order food.