I haven't followed all those links to check if they make the point I'm about to, but I thought I should add this ...
In olden days (the nineties), the traffic from the core network out to a base-station was mostly user traffic - voice and data - with a little control signalling. Carried over leased lines or dedicated microwave links. The basestation did all the digital processing work, and the analog RF work, and sent a strong RF signal up to the antenna at the top of the tower.
In our networking world, we would perceive this as the voice and data traffic being sent out to the remote site, across a "fibre" access connection: FTTP, FTTC, G.fast, etc.
C-RAN doesn't work like this. It creates a weird, almost illogical, split.
Basestation architecture has, relatively recently, split the digital "baseband" processing from the analog RF processing; at first this split resulted in separate units at the top and bottom of the masts. The backhaul wasn't affected, and still largely carried voice and data traffic as we understand it.
C-RAN extends this split further. It will leave the RF processing at the tower, but place the digital "basedband" processing back in a central location, where it can share computational power with many other towers. The data being sent between the two is no longer plain voice and data traffic, but will have been encoded, ciphered, separated for frequency hopping or spread for WCDMA, and separated for MIMO. I've seen this described as "fronthaul", rather than backhaul.
(*) I have an analogy with s VDSL2 modem; see below if you are interested.
The bandwidth that needs to go out from the core baseband units (BBU) and the tower-based "remote radio heads" (RRH) gets multiplied heavily; it is no longer just voice and data traffic, but is something that (up to 15 years ago) would have been found going through the backplane of a 2m rack-sized basestation. It is the kind of bandwidth where you'd expect fibre.
More importantly than mere bandwidth is latency. The RF units will have to be synchronised perfectly, with little room for delay. I've seen numbers specified in microseconds, not milliseconds.
https://en.wikipedia.org/wiki/C-RAN
(*) Analogy with a VDSL2 modem
This is akin to splitting the chipset in your VDSL2 modem into two new chipsets.
Have one half do all the work at determining how to split your data across the 4096 tones; what FEC, interleaving and retransmission is needed; what QAM constellation the data should be transmitted with; what vectoring adjustments are needed. Turn that (probably) into 4096 separate streams of data describing the QAM constellations.
Have the other half take those 4096 streams, and turn it into RF. Amplify as necessary. Put that data out on the line.
[Some of the 4096 tones will, of course, be working in the opposite direction. Adapt your thinking to cope as necessary]
Then separate those two chips by 10km, and use fibre between them.
C-RAN is as weird as that! It splits something you just wouldn't think of as splittable.