I think those assumptions are not supported by the available evidence[1], and that the authors they know this. Who cares what the NSA says? I'm looking at the same thing the authors are presenting and drawing different conclusions.
[1] Including the abundance of evidence already available about XKEYSCORE.
I think erring on the side of the assumption that is bad for everyone is more likely to be true. Especially since its consistent with the NSA's overreach in other areas.