Different strokes, but I am inclined to call any of the incarnations of overnight or longer rides bike touring. I don't call day rides touring. I don't call going somewhere and doing day rides from a base camp touring, I won't get too wound up if others use different terms or consider day rides touring though.
I actually kind of like the term cycle touring or even bicycle touring and often actually use the latter when speaking to folks who might otherwise assume I am talking about a motorcycle.
If I were 30 years younger I might call it all bikepacking.