It's highly irritating.
Allie Therin's series Magic in Manhattan (and Roaring Twenties Magic) is a great example of the opposite phenomenon. Therin excellently captures the time period, the zeitgeist, of New York City (and later, London) in the 1920s. The series is urban fantasy, so Therin had more options--could take more liberties with historical "facts"--but generally speaking, the books feel like a tribute to the era of Al Capone and speakeasies and new automobiles and luxury liners than stories containing off-the-cuff allusions to those elements.
As a writer who struggles with setting, I have to ask, How does she do it?
She uses language--cloche hat, phonograph, "asylum" rather than "mental institution"--and settings--the series starts in New York City and one of the main characters operates a speakeasy. And Therin references certain events, such as a character learning to drive, which is considered--for a woman of the lower-middleclass--to be highly unusual.
More than providing language and setting and references, Therin USES them. When Rory, the main protagonist, breaks his glasses, the possible cost of another is considered as big an imposition as me having to fix part of my car. The fact that the woman he works for can drive becomes a factor later on. And the speakeasy is an ongoing setting, especially since the woman who runs it needs to avoid being cheated by bootleggers.
As I mention in one of my fan fiction posts, capturing a historical time period means taking the conditions of that time period seriously. Therin's series do.