I have never heard of a population wide mandate for a flu vaccine however.
And since 2004 the average effectiveness for the flu vaccine is about 40% so I guess if you are in a high risk group it might increase your survival a bit, but not enough effectiveness for a national mandate. The death rate of the flu is about 0.01% for all populations.
I mean, would you get a surgery that had a 40% success rate if your chance of dying without the surgery was 0.01%?
You are basing your argument on population based statistics. Healthcare workers are an important, large, and uniquely at risk sub-population.
Should you rx chemo therapy this afternoon? Probably not… unless you have a known tumor. Radiating random people off the street is not a good idea—I fully agree!
Granted this article shared that the rate is low, it also surfaced mandates for healthcare:
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3020194/