I'd like to question what counts as "government" here.

Is it a mystery where you live? I grant that you get boundary cases like government approved guilds that control licensing and access in certain industries. Is a doctor a government agent? Increasingly so.

To answer you questions directly. No. Yeah, probably.

And I see 1 and 2 as different as well and for similar reasons. In general, I see regulation and criminal law as more onerous than taxation because it entirely removes options.