Doesn't dry cough imply sore throat (ie you cough since your throat is sore and irritated)? So people having a cough wont also mention that their throat is sore since it is unnecessary information?

Edit: The way I experience is is that there is a constant tickle in my throat. It sometimes get so strong that I can't hold back a cough but most of the time it just stays a tickle. I call that sore throat, when I got it initially it surprised me and I got a cough attack but after that I've been able to suppress it and not cough for days.