Ahh the party of small government strikes again.
For example, minarchists are not in favor of universal healthcare, by definition - it doesn't fit the short list of the kinds of roles that minarchists believe government should play. There are plenty of people who are in favor of universal healthcare, who can't be called minarchists.
If you mean this makes private corporations gain leverage over workers, sure, but that isn't what "large government" means.
IMO this does fit the bill of "large government", as it's explicitly done to manipulate and pollute the free market.