Orage, you're right. (correct me if i'm at all wrong anyone)
You can have what looks like CC lighting but was actually a CG. especially at night when you can't see the storm(s). They could be side by side, behind or hidden from your view. CC lightning is also referred to as intra-cloud lightning because it's just electrical activity from within the cloud itself and also from discharges from one cloud to another.
CGs don't necessarily have to come from the base of a storm - as in the rain shaft - they can come from the circumference of the cloud from the anvil to the ground, from within or beneath. Remember that you have positive and negative charges throughout the cloud and around and beneath it, so lightning can emit from anywhere - that's why it's so unpredictable!
When you see a thunderhead lit up like a light bulb it's more than likely CC. even between storms you see CC discharging as it leaps from cloud to cloud to find a connection. However, you can have CC lightning that can discharge as a CG at the same time if it finds a conductive path! It all depends on the maturity, structure, atmosphere of the storm and its surrounds.
In short, yes you're right. There's literally millions of paths electricity can choose from. I hope I explained that in layman's terms - makes sense to me!
Mike