I sometimes find myself saying or typing kit,but to me,it's a drum set,bass drum,snare,mounted tom,floor tom,and cymbals.
The bass drum was never "kicked" like some think it was.It was always played with a beater,and the snare drum was played with sticks,which is why there were usually 2-3 drummers in an orchestra pit...till the bass drum pedal came along.
So the term " kick" drum,was used erroniously by recording engineers,to differenciate the bass drum mic,(labeled kick)from the bass guitar mic,labeled "bass".
Sorry for the off topic,but it's kind of OT.
Steve B