This is exactly how we got here. We allowed them to work to make temporary asylum permanent migration.
PS: Part of the issue with sending them back is that the countries they're from won't take them. They can't live at the airport like Tom Hanks either.
They could be green for all everyone cares about. The actual relevant distinction with real word implication is criminal statistics and per capita rates. Not to mention everyday real life bad experiences for people living outside of the sheltered silicon valley world.
>countries they're from won't take them
That is just wrong. In many places it literally results in a brain drain. Your position literally hurts already poor countries just because you want to see less white faces in the streets.
Countries are not entitled to keep their citizens by force to prop up their economy. If the person doesn't want to stay, why should they be forced to?
You might want to contemplate the fact that you're literally rehashing the same arguments that Soviets and East Germany used to justify their exit visas. Except you're doing it from the other end of the pipe.
Unfortunately the hard-right has also defunded that process for many years, and have thus created this problem themselves. The agencies tasked with figuring out if asylum seekers have a legitimate claim are overwhelmed with all the work. This is purely a self-created problem (intended to gaslight the population in there being a huge 'immigrant problem').