I don't know where blown out came from either, but one thing I can tell you - the power of a river to carry different sized sediment is related to the velocity of the river. That is pretty obvious, but the numbers are pretty staggering.
For those that can stomach a little "nerdy" explanation... I studied a bit of hydrology once (forgot most of it by now!), but one thing I always remembered was the "6th Power Law". Basically, you take the 6th power of the change in velocity of the river, and that gives you the order of magnitude of larger particles that can be moved.
I don't know how best to explain it, so to keep an example short, say your river DOUBLES (x2) in velocity after a storm. You then take 2 to the 6th power, which equals 64. In other words, doubling the velocity of the river allows the river to carry particles that are 64 times as large as it previously could carry.
Now say it TRIPLES (x3) in velocity after a storm. Then you would take 3 to the 6th power, which equals 729! So all of a sudden, if the river triples in velocity, it can carry particles that are 729 times as large as it previously could!
Seems crazy, but when you realize the size of particles it could previously carry is quite small, multiplying by 64 or even by 729 doesn't necessarily come out to be boulders or anything... it might move up from clay or silt to sand, or something like that. But if there was a major flood and the river is truly hauling a**, then yea, boulders could be moved too.
I also recall the 6th power equation breaking down at some point and the need to take into account a few other variables (volume, gradient, depth, etc), but for the most part, it should server as a pretty decent estimation.
Sorry for the hydrology lesson! Hope it sheds some light into the power of the river though...