If it's a popular white water stretch, sometimes you'll have a choice of outfitters with different approaches. Through the Grand Canyon there were huge rafts, little rafts, kayaks, powered, unpowered, etc. We chose oar powered wooden dories and in some of the smaller rapids, a few would get out and float through with just lifejackets.
My first post was a joke about thread drift, but I ended up hijacking the thread.