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FPTP is perfectly fine for electing a representative. I might even argue that it is best electoral system for selecting a representative. It is how most organizations choose between a set of employees and it works well enough.

FPTP absolutely fails hard when parties get thrown into the mix. But that is when you should stop to ask yourself why are you hiring party members in the first place? You want to hire someone who is there to represent you, not some other allegiance. The Westminster system really isn't well suited to having parties in the first place, even if it has grown to accept them.