I don't see how you can double the distance, at absolute most you get 50% farther on the same bottles but that doesn't leave any room to deal with hypercapnia. I've found that for <2000ft I end up with more total gear, and it's not until >5000ft of penetration that I end up with slightly less gear, but in that 2000-5000ft range I end up with about the same amount of "stuff" coming with me since the CCR is replacing the penetration gas.
What I have in mind is that you do not touch the stages except if you bailout, so you need OC gas only for the exit + problem management (like hypercapnia, but of course there is more depending on the cave: flow, eventual silt out in highly silty caves, restrictions, etc.) when diving in CCR.
For example, imagine a dive with 2 stages in CCR. You can leave the first stage at a distance that you can cover breathing it (it is full when you leave it, since you are breathing from the CCR). Then you can continue the dive based on the amount of gas in your second stage bailout (or backgas if your configuration is GUE style); then you need to come back. Of course, you want to add some safety to deal with problems. And, of course, oxygen and diluent adequate for the dive, but I consider them part of the CCR.
So you cover with 2 stages (or one stage + backgas) + CCR the distance you can cover in OC with the two stages (or one stage + backgas) minus the gas you want to save to solve eventual problems.
Assume open circuit, same dive. You would need for the same dive 4 tanks minus the amount of gas you want to keep for reserve (which is at least one third of backgas).
So basically you are right in this range, because you would bring, assuming doubles, two stages plus the backmounted doubles - which is almost equivalent to a CCR set except if you go for something ultracompact, right?
But if you add another stage in CCR, you need to add two stages in OC. However, assuming shallow caves, and depending on your SAC, we are in the range you mentioned (5000ft+) - and I am rather sure if you add calculation for reserve gas we end up to your result.
Again, I am overly-simplifying the management of problems (we all know, thirds or stricter rules in OC, account for hypercapnia or other problems in CCR, eventual morphology of the cave, flow, etc.), I would never plan a cave dive without taking into account more factors and writing down all I need, but I see an advantage in long penetrations, which is what I meant...