All these terms are too wide to describe one person's position on certain topic. They could be anti-regulation in terms of "government influences who, how, when, where operates in some economy sector" as it leads to market capture and control of the regulatory organizations by the companies they were supposed to regulate, but pro-regulation in terms of trust-busting companies having above-government power, like it happened to Rockefeller's "Standard Oil".

This is a rather lazy strawman. Monopolies and cartels have always been the primary threat to efficiency in all free market models. All serious proponents of free market economics have always identified the importance of regulating monopolistic and cartel-like behaviour (aside from the anarchists, which is mostly an extremist form of libertarianism).