It's not a con, just takes a little thought...
Cell speeds vary - they don't however depend on the load in the network as a whole, rather more where you are, what your trying to do and how many others are doing it within your cell / carrier - so load there rather than the network.
LTE+ currently has speed in excess of 340 Mb/s (as tested by NSN last year), but will be a long time before we can get anywhere near that, early adoption can expect around 40-50 Mb/s.
WiMAX is never going to keep trend with LTE in terms of bandwidth - they are comparable in the earliest rollout phases (as indeed is HS+) but long term LTE is superior (currently and has been for a while).
Its unlikely you'll see (at least advertised) the LTE rollout, it'll simply be subsumed into the normal upgrade process we are seeing now in HS - hence the name evolution in LTE. Whilst different hardware in the base station for Joe Blogs it'll be mostly behind the scenes, flash updates to data cards, new software patch, etc.
Mobility is a bit of a misnomer - what we are talking about is ubiquitous over air connectivity, so you can roll up anywhere and use you laptop / a another UE and get decent throughput - again its that sort of hotspot ideology (from the early WiFi days) that is already being used for HS and will continue into LTE. Nobody is going to be walking about streaming a HD film to watch, they may however sit somewhere and do so.