"It's my understanding there's no limitation on the number of H2 visas at all, so quotas aren't an issue."
Incorrect, according to this piece.
"Then there is the H2-B visa, which was designed for seasonal agricultural workers and service industry employees but also includes minor-leaguers from foreign countries, as they work in America for set sport seasons.
These are the visas that allow American clubs to bring up players from the leagues they sponsor in Venezuela and the Dominican Republic, as well as Canadian high schoolers drafted each June.
The system worked well until two years ago, when in the wake of the Sept. 11, 2001, attacks, the government lowered the cap on the number of H2-B visas to 66,000 per year, down from more than 120,000 visas in past years."
http://www.coxwashington.com/reporters/content/reporters/stories/BC_IMMIGRATION_BASEBALL03_COX.html
But there is no reason why American teenagers couldn't do this work. After all that is the original reason for their summer vacations!!! I did it! So can they!!!
Sure there is: they can either earn more at McDonald's if they want to work, or they can sponge off mom and dad if they don't.
I was referring to H2A, which applies to seasonal agricultural workers. H2Bs are for temporary non-agricultural work, and they are limited in quanity.