I mean, yeah, I was assuming that we have immigration at all.

A lottery allows a natural influx of people, who are free to find their way into whatever jobs are needed. It's another form of market solution, but more of a push model than a pull model. But it also, logically, reduces wages across the board (to some degree).

A pull-based model, where companies compete to bid for visa slots, lowers wages in high-end roles, because visa holders are beholden to their sponsor company, and uprooting and moving back to your home country is not something to be taken lightly.