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A tiller really implies that the rudder is a 'balanced' design so that the forces needed for the tiller when the boat is at high speed is light or easy to move.
A 'barn door' rudder, one that attached by 'hinges' to the end of a full keel or to a 'skeg' require a LOT of force to turn when the boat is at speed ... and functionally they are best turned with a 'wheel' that can generate a lot of mechanical advantage.
For a tiller the 'best match' is a 'balanced' spade rudder, the worst match-up would be a 'barn door' 'hinged' or pintle hung rudder. If the rudder is 'balanced' then the tiller will only need 'finger tip' pressure to hold the boat on a straight course but if the rudder is not 'balanced' sometimes you'll need arms like Popeye to overcome the adverse helm pressure when 'steering'.