The regulatory capture you refer to is one of the downsides of over-regulation. De-regulating is not necessarily a panacea for regulatory capture. Sometimes the regulatory body that has been captured has power of regulation that is in some way completely necessary and that is use as an excuse to institute an abusive barrier to entry or similar. Or just regulated to grow the career, influence & power of the persons who are charged with advising and enforcing the regulation.
Whether two people looking carefully and sensibly at a market see it the opposite way, one as over-regulated the other as under-regulated can be largely ideological and a good faith disagreement, both of whom can achieve a better understanding and policy prescription through sensible exchange of ideas - especially with regards important details like enforcement, corruption, abusive practice that is or could happen etc.. There isn't nearly enough of that about.
If you are sufficiently purist, none of them is free or unregulated. But they are regulated in different ways and to different degrees.
You can learn a lot by observing how these varying degrees impact outcomes.
I'm coming up on 45 and through my whole life, markets have been regulated in favor of corporate officers and the government agencies and officials paid to represent them.