Yes, lots of anti-regulation people have taken a specific brand of free-market capitalism (arguably even an extremist brand of
laissez-faire free-market capitalism) and tried to make that the only "real" market economy.
Free market socialism isn't a contradiction, despite what many would have you believe (think: worker owned co-operatives and nonprofits that compete in the broader market).
Similarly, market economies need not be wholly unregulated to be good. And indeed, I think you'd be hard pressed to find mainstream economists who claim that worker safety regulations are bad (like, they might be able to point to particular regulations that are dumb, but there are many that are not).