At least in Ableton Live it can work like this. I think it makes sense because when you're recording notes you often don't have the time to go back to the Session page on the Launchpad to stop the clip recording.
In Bitwig, using DrivenByMoss driver (or base driver), most of the time I'm too slow to stop the clip recording in time (due to the fact that there's no button available for that on the Note page), so I erroneously record one excess bar, which I then have to correct using the mouse. Which is not very "livey". Of course I could use the Launchpad on Session page only and then use another controller (a keyboard) to enter notes. But then it really diminishes the purpose of the Note page.
Thanks for helping!