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well its better than having just one lever, besides you can just use a doubleiser

I used to run two levers and no brakes, they're called hood levers for a reason...

Didn't campag do some "leverless" levers back in the late 80s for such bikes?

Cane Creek do some and I think Tektro might. It looks better when you have the lever there, I often rest my fingers on the lever so removing it would make it uncomfortable.

Basically designed for tandem;

personally I liked having two operable levers, a good idea if you're thinking of adding a rear brakes on the fixie skidder.

There's your answer