Georgia HB 87 (2011) and its unintended consequences say otherwise. While the H-2A is indeed popular, there are still a staggering number of people working these jobs who are here illegally.
https://www.forbes.com/sites/realspin/2012/05/17/the-law-of-...
https://www.npr.org/sections/thetwo-way/2011/05/27/136718112...
https://www.theatlantic.com/business/archive/2011/06/georgia...
https://www.politico.com/story/2011/06/ga-immigrant-crackdow...
https://www.timesfreepress.com/news/2013/jul/07/immigration-...