One minor advantage of disc brakes is that the brake force is more consistent.

Rims always have minor variations and are never perfectly true. As a result rim brakes tend to grab a tiny bit in certain spots. As a result you can't get quite as much power before locking up.

Hydraulic discs also respond faster, meaning it's easier to recover from being over the limit.

Mechanical discs brakes aren't really any better than a modern dual pivot rim brake. Both are basically limited by the flex in the cables. The discs will be better in the rain.

The difference between brakes is basically only noticeable when you're riding near the limits.