Maybe me English is too weak.
As far as I understood the text, it seems to me you are mixing the Bitcoin network with the Bitcoin end user’s network. First, the user of the Bitcoin network are the miners. Adding a miner or removing would not bring in / take away much value in the sense of $, would it? It would change value in the available hash power and security. Value wrt. to Meatcalfe’s Law is a relation about the use and the costs of the system, and this I would consider this from the miners perspective. If, on the other hand, you mean the network of the end users, who are using peer-to-peer network, then nearly nothing would change, as both groups get coins on both forks, and can still do their old peer-to-peer transactions, with one more coin. True, real users would probably only use one of them, but then, most users seem to store BTC for future value anyway and are not really contributing to the net value.
(Of course, I agree that the sum of both will probably not be equal to the original.)
