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Hydraulic disc brakes make riding more comfy because they require less effort at the lever and let you brake easily from more hand positions, that's the main reason I prefer them on the road. Also, they let you run carbon rims without having mediocre-at-best braking. And not having to worry about tire clearance under your brake caliper is a big positive as previous anon pointed out.
I got into cycling with vintage bikes and have done plenty of big descents with pretty much every kind of rim brake from terrible stamped sheet metal sidepulls to modern dual pivot calipers and everything inbetween. Rim brakes are perfectly fine, I still have a couple classic road bikes with rim brakes in my collection that I ride on occasion, but discs are just more pleasant to use so I can't imagine choosing a rim brake in the future over disc.
