That is worrying, as it is clearly not the case. An actual influenza infection feels really bad, whereas side effects of the vaccine are generally no worse than a passing fever (and only in 1-2% of the population). The CDC estimates influenza-related death between 2010-2014 (which is a bit broader than direct deaths due to flu) ranging from 12k (2011-2012 season) to 56k (2012-13). In Europe, as mentioned, the decline in life expectancy in several European countries in the last few years were related to rather bad flu seasons.
A challenge with flu vaccination is that the outbreaks change every year and if the prediction is off, folks may get vaccinated against the wrong strain which only offers limited protection. In addition, there are certain strains for which the efficacy of vaccines is somewhat low. However, even imperfect protection has an important impact on human health. As mentioned the vaccine was less effective for the 2014-15 influenzaA H3N2 outbreak. But even with the diminished vaccine, the CDC estimates that ca. 67k hospitalizations were prevented by the vaccine, as well as ca. 1.9 million illnesses. Obviously those numbers are higher for seasons where the vaccines were more effective.
As such, recommending not to vaccinate, especially for elderly folks does seem somewhat irresponsible.