It's one of the most blatant self-made problems around migration that populists very disingenuously employ to paint their favourite picture of the "welfare queen" which has been a bold, racist lie since it was first used.

But I'm also a bit sceptical of how you can do this in a country without mandatory collective agreements in all sectors. Germany at least has a minimum wage, but that just means wage dumping can only go as low as 12 Euro per hour. Back in Cyprus, where the same question is constantly in the news, the most notorious anti-worker industry, the tourism sector, is begging for asylum seekers to be allowed in the jobs that they have most trouble filling with citizens, EU-residents, and work-permit holders. But they want to do so outside a collective agreement (one used to exist, but for various reasons is now dead-letter) and essentially without even the protection of a minimum wage (which Cyprus didn't have until this year, and now it has an idiotic version of it which defines a monthly minimum wage without a limit to hours worked).

I think that the introduction of asylum seekers in the workforce should happen, but it should happen in tandem with a massive pro-union legislation change that will make collective agreements mandatory across the board (similar to the Swedish and Finnish models, as far as I understand those). That might require re-aligning the way unionism is understood in Germany from per-workplace to be per-industry.