No one needs to do such a comparison.
Rim brakes are more than sufficient for road bikes for 95% of riding situations. If you ride where it's mountainous AND wet, then disc brakes may be advantageous- but good quality mechanical discs would work just as well as hyrdos, with less weight, expense and complexity. End of story.
Mountain bikes/CX bikes/fat bikes.....discs make more sense- but again, good quality mechanicals are fine.
I have mechanical discs on my fat bike. Love 'em. Wouldn't want them on my road bike though, as they'd be overkill, as the rim brakes can already lock-up the wheels.