Recording provides power to the weaker entity because they can expose the more powerful entity. The ability to expose is the only equalizing power a weaker entity has.
For example, an employer with power over an employee can ask the employee to do something unscrupulous without worrying about being exposed if the law forbids the employee from being able to expose the employer.
For a large corporation versus small individual, I don’t see what the small individual would ever have to lose by being recorded (or gain by not being recorded). The small individual is never going to be in a position where they can twist the large corporation’s hand into doing something wrong, and if they were, then I would say the large corporation is the weaker party in that interaction.
Hm, I see what you mean. I worry about that - I think generally you don't record a large corporation, you record another person (or people). Those people might be in a position of authority, sure, but being able to publish highly out of context footage is potentially far more power than anyone should have used against them.