Just to clarify some basic issues: there have been other Tour winners who have used lower cadences than LA. Additionally, i think it would be fair to say that LA (or whoever) didn't invent pedalling fast. If you look at the riders with the exception of Obree, in the Hour Record, they all used a high cadence (i.e. > 100 revs/min)
it's also acutely important to understand that most people cannot pedal at high cadences when climbing hills with the normal gear ratios that we have on our bikes.
Your cadence is determined, obviously by gear selection, but also by velocity of movement, which in turn is determined by the power that you can produce. For e.g., many/most racers will have a lowest gear of 39 x 23 or 24 for their usual locale. If you can only produce a finite amount of power (e.g., 300 W) up a climb, then under given conditions that power will produce a specific velocity. That maybe (e.g.) by 16 km/hr. in your lowest gear (e.g. 39 x 23) that will produce a specific cadence (~ 70 revs/min). thus to pedal at a faster cadence (which may or may not better) you'd need either substantially lower gears, or to produce significantly greater power, or to avoid hills... in other words, most people on most hills will be forced to pedal at a lower rather than higher cadence (until one of the above 3 changes are made).
ric