If I'm using the device, I'd like to see banner notifications from other apps.
When I unlock it, I don't want a swarm of banner notifications bothering me and hindering my ability to use the top of whatever app I'm using. I'd rather just check the notification center at my leisure.
EDIT: But I still want the rest of the device to operate as per usual; in particular, I don't want to turn on Do Not Disturb b/c I want to be disturbed by whatever else I've set to disturb me.
Is this possible?