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 fails hard when parties get thrown into the mix. But that is when you should stop to ask yourself why are you accepting parties in the first place? The Westminster system really isn't well suited to having parties, even if it has grown to accept them.