When FreshDirect received a $128 million package of cash and tax breaks in February to move to the Bronx, residents of the borough, the city’s poorest, protested loudly about a peculiar indignity: the online grocer did not deliver to most of their neighborhoods.

This week, after months of criticism, FreshDirect expanded its service to include every corner of the Bronx.

Though the move was hailed by city leaders, the effort has drawn mixed reactions from residents, who say they cannot afford FreshDirect prices on their small incomes, and from community advocates, who say that any benefit will be outweighed by more truck traffic and exhaust fumes and a loss of waterfront access and green space at the company’s new site in the Harlem River Yard.

“They would serve the Bronx better by not coming in,” said Kelly Moltzen, a Mott Haven resident who is also a nutrition coordinator for Bronx Health REACH, a community program working to reduce obesity and diabetes. “There are a lot of other ways to get healthy food to people without giving a subsidy to a private company that is not part of the neighborhood.”