Lower GDP doesn't mean to lower standard of living, if it is due to lower population. Similarly, more foreigners doesn't mean better standard of living. There is no point in increasing the GDP if this doesn't translate.
Check the EU: millions of foreigner have arrived in the past 20 years, yet EU's GDP has been growing very little during the same time
Check the EU: millions of foreigner have arrived in the past 20 years, yet EU's GDP has been growing very little during the same time