While we are tidying off, agree with George that legato/stacato can be done both ways with practice, though in my view that rows/crossing "favours" a style. But in the end you'll be doing these for other reasons.
Disagree about overlapping the notes, we've all tried that but I think it has a minimal place in music (and is impossible when a push/pull change happens)! This is to deliberately blur and defocus your music and can easily end up as "slush"? Stacato might have real gaps between note, lagato "touching", but actually "attitude" is more important. Let your instrument express your feelings.
Musically … a lot of this is in "attack", the first millisecond of a note, anacrusis. But don't forget to have clean note ends too. Stopping a note is as much a rhythmic "event" as starting one? That too can be abrupt, or otherwise.
Try out the TOTM "Orange and Blue" videos, which were played in both styles