... speaking from my own personal experience, nurses and doctors are horrible about seeking medical attention when they are feeling ill. I usually won't make a doctor's appointment unless I am bleeding from the eyes and the entire left side of my body is numb. Most often I self medicate with whatever OTC drug or left over prescription pill is sitting around the house. Sometimes I will even get a little crazy and try voodoo, more commonly referred to as Eastern medicine or home remedies.
When I try the latter I always add a bit of Western medicine flare; i.e. doubling the dosage for immediate results because Western medicine is impatient like that.
For a sore throat and nasty cough that has persisted more than 3 days I decided to take a shot of whiskey with honey. Five minutes later I was still coughing; another shot. You get the gist.
So no, whiskey and honey do not work for coughs and sore throats unless your goal is being drunk with a cough and sore throat. In which case, you're cured!