Well, to be more precise: We need a lot of people willing and able to work in elder care and certain other professions. Unfortunately that does not appear to be the case for many people who fled countries like Syria. In 2021 65% of Syrians in Germany were still on welfare. link in German
Economically speaking refugees from countries like Syria cost more than they bring in. Now, that’s not a good reason to end the right to asylum - old people are even more expensive, don’t work and we’re not talking about abandoning them - and of course better policies could lead to a higher share of refugees actually working, but with current policies the economy isn’t an argument in favor of accepting refugees.