The stated goal of the H1B system is to allow companies to import high skilled and high quality labor that isn't available in the US market, into the US. That it doesn't behave that way in practice is at odds with the intent of the program.

The stated purpose of the H1B program is solving a problem that didn't exist. The problem was that highly skilled people exist, but they know what they were worth and demand living wages. That's the problem that the H1B program solves: how to get skilled people who the company has enough leverage over to prevent them from negotiating high wages.

The labor market is highly political and any policy that significantly affects it is going to have lipstick on it. US politicians will never admit that the southern border issue is driven by the demand of US business (agriculture, manufacturing, services) for inexpensive+disenfranchised migrant labor, but that is the bottom line for a lot of the stakeholders.