Your welcome. But i'm not sure, i in this case can help to solve the issue, or perhaps even to locate the issue.
Don't you have the issue with other vendors plugins - using similar presets?
It does'nt have to be about the plugin.
I understand you use the full individual applications and not Analog Lab.
We can only discuss named presets. So lets stay with the preset you have named. If that preset keep playing after the note is released and the sustain pedal is'nt active including it's not active as a automation which i'm not sure you inform about, then i can't tell what's going on.
I understand the DAW keep playing further on the timeline, and that the problem only happens with notes played from the DAWs and not from your controller. Are you sure you don't touch the controller, when it happens, or do some kind of work in the DAW when it happens, so an error might make a note hang?
You say it's only sometimes it happens within the excact same project without anything has been changed. That's the worst. Is there anything you can do, so it happens all the time?
I can suggest you look for doubble notes in your DAWs and delete double notes, if they excist. I'm thinking a note perhaps can hang, if doubble notes is present.
I can't tell if a kind of chase notes settings in your DAWs can result in issues like this. I don't use the DAWs you use. And i'm on Windows. As you use Logic i assume you are on MAC. I assume you in Ableton Live also are talking about timeline mode and not about clip mode.
You can make sure all your software is updated.
You can allways contact Arturia support through your account. But at this point it could just as well be about something else than the plugins.