I have a device that fits in my trouser pocket that allows me to stream and watch HD video for multiple
hours over a cell network while being powered by a battery roughly the volume of a matchbox.
Yes, I think that's incredible. Does it have TCP characteristics similar to an Ethernet-equipped desktop? No, probably not -- but that's got nothing to do with the characteristics that led to the creation of AMP.
Mobile networks and phones are powerful enough for video, so they're powerful enough to download and render a web page. If they're slow at web pages, it's very likely the fault of the page creator, not the network or device.
AMP is an attempt to force the hands of the page creators out there, since they apparently can't self-regulate.