I don't believe you understand the Net Birth/Death Model.
The 257k added by the Model is not just lobbed onto the seasonally adjusted payroll increase that was 274k in April, it is figured in the non-seasonally adjusted increase in payrolls, which was over 1.1 million in April.
The BLS says the number is adjusted monthly.
The last time real wages grew this slowly was 1991...psst, preceding the great bull market.
http://www.laborresearch.org/charts.php?id=8