To me, human trafficking means moving people against their will.
Ok so we disagree on what people trafficking means, and a little research implies you might be correct to use this term in this context. People smuggling seems to be the moving of people with consent. I guess I'm falling victim to the media preferring to use the term traffickers than smugglers.

But I suspect it's a grey area between the two. If someone is coerced into movement by means of deception, or because they are convinced they have no other alternative, genuine consent becomes questionable.