What items don't correlate their price premium to their functionality?

I don’t know if I’d agree with that price range.
Strictly function-wise, a quartz electronic (especially with atomic timekeeping) will tell time more reliably than any mechanical watch, and something like an atomic-solar g-shock which will always be correct and nearly indestructible can be had for less than a $100.
All the function you could ever want, if we are talking about timekeeping.
Everything beyond that is “wants”, not “needs”. You don’t need mechanics, Swiss quality, gold casing or any other fluff to know the time, it becomes fashion past that point.