Debate Wanted

When the topic is free will, it is common to claim that minor influences show that free will doesn't exist.

When the topic is regulation, it is common to claim that “nudges” are a way to improve society without coercion.

Question: Are these “nudges” coercive or not?

Question 2: Do the investigators have free will or are they merely responding to unconscious nudges? (On the other hand, it may be dangerous to investigate that.)

Question 3: Is it my imagination or do the anti-free-will studies all seem to have pathetically-small sample sizes?