This is sort of a naming convention used by BIAB that does not resonate clearly with everyone.

These movements of notes out of time constitute more of a feel than a precise value in music I have listen to.

Swing music does similar sorts of things by moving the emphasis on the off–beat or weaker pulse. But also swing does not necessarily require a defined amount of movement as in "swing feel".

At the end of the day I guess it matters little what you call this movements of notes in BIAB. Learning non standard terms and ways of doing thing is a basic requirement of dealing with BIAB.

I assume there could be examples of this device in other styles of music other than jazz and funk. Please post a link if you know.

Here is an example of the bass player playing behind the beat.
https://www.youtube.com/watch?v=MmC-aT0Xe9k&list=RDm4XI6LXCsH8&index=4

Billy

“Amazing! I’ll be working with Jaco Pastorius, Charlie Parker, Art Tatum, and Buddy Rich, and you’re telling me it’s not that great of a gig?
“Well…” Saint Peter, hesitated, “God’s got this girlfriend who thinks she can sing…”