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Re the climb: I don't think he would've got up there much quicker with gears.
He would. Though I'd guess going quickly isn't the main aim.
Straight chainline
39x22–ish is a straight chain and a better gear and freely available in all good groupsets.
Power to weight advantage
Road bikes don't weigh any more than track bikes. His looks pretty light though.
More direct transmission
...but less efficient engine.
I regularly blast my mates on geared bikes
Up mountains? Tell us more.
Re the climb: I don't think he would've got up there much quicker with gears.
Straight chainline
Power to weight advantage
More direct transmission
I regularly blast my mates on geared bikes