When you need to shift across 2 or 3 cogs at a time, any linear motion system, indexed or not, has a huge advantage over STI, RapidFire, etc. When you want to trim your front derailleur cage, any non-indexed front shifter has a huge advantage over any indexed system. STI's only real benefit is in single-cog shifts, although a rider familiar with his/her downtube shift system can probably execute the actual shift just as fast. I have found barcons to be a bit slower shifting than downtube levers, presumably because of cable housing compression.
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"Far and away the best prize that life offers is the chance to work hard at work worth doing." --Theodore Roosevelt
Capo: 1959 Modell Campagnolo, S/N 40324; 1960 Sieger (2), S/N 42624, 42597
Carlton: 1962 Franco Suisse, S/N K7911
Peugeot: 1970 UO-8, S/N 0010468
Bianchi: 1982 Campione d'Italia, S/N 1.M9914
Schwinn: 1988 Project KOM-10, S/N F804069