That is not what pathseeker said. You said (and pathseeker agreed) that the network is only valuable because there are people in it to do the labor. Pathseeker also said that having people willing and able to do the work is only valuable with a network to organize them and connect them to the people who need work done. You're both right. The people and the network are both contributing, and they both have value. Neither would be valuable on its own.
but often the network gets a disproportionaly large share of the reward (i.e., the extraction of value is higher on the network side vs the labour side). This is the same as the capital vs labour argument - one without the other isn't going to produce value, but the capital side is able to extract a higher value than the labour side.
Saying capital is relatively scarce compared to labor is flat out false. Look at the last 10 years or so. Venture Captial has been flush just about anywhere you look.
Capital is not money, but rather durable goods which contribute to more efficient production. It is the networks which are the capital here. Money can be used to buy capital, but only if someone goes to the trouble of designing that capital first. There is plenty of available labor looking for productive work to do, just as there are plenty of VCs searching for ventures likely enough to succeed to justify the investment. It is a lot easier to find people able to do whatever work is required than it is to find the right capital (networks) to organize them and enabled them to do the right work productively.
Both capital and labor are needed. The networks receive a greater portion of the reward because they are more scarce than labor as well as contributing more to overall productivity.
No, this statement is entirely and purely false. The reason the network has value is because there are people on the network doing the work. If no one was doing the work, the network would be worthless.
Stop falling into the trap of believing that the people actually doing the labor are not contributing, or do not have value.