I hate asking but mind citing some sources?
Economic consensus is that labor pool operates on supply/demand, so greatly increase the supply through immigration will reduce demand and therefore reduce salaries. This part of the reason for why doctors have such high salaries: their supply is limited because only X number of people can become doctors each year and demand is very high.
Saying that an increased supply of workers does not affect highly commoditized jobs like cooks and construction works is an unusual claim and I would appreciate a source so i can review their arguments.