experience
That's not fallacy, it comes from experience.
Fact one
Rim brakes will heat up cycle rim when braking on a long descent, which may result in the tire blowing of the rim, This has happen to me while riding the 2001 Dorset Coast 200km while dropping down in to Lyme Regis. You don't have this problem with a disk rotor it just gets hot
Fact two
Rim Brakes wear down the surface of the rim until becames too thin and fails. Average life of the rim when used for club runs 18 to 24 months (4500-6000 miles) before it fails. My current custom built audax bike fitted with cable disc brakes and it also appeared in Cycling weekly was built in 2001, the wheels lasted to 2018 (60000 miles) when the hubs wore out, the rims were reused when I built a set of new wheels. I also only had to replace the disk pads five times in 17 years, with rim brakes it was two or three times a year.
Fact three
The braking effect of a rim brake is reduce when any lube (Even water) comes between the brake pad and the wheel rim. More so if fitted with steel rims. If sand or grit is mixed in what ever is between the pad and the rim it will act as sand paper and sand away the surface of the rim, braking is also reduced.
To sum up
Disc brakes work better in their functionality than rim brakes, There’s more bite, particularly in wet conditions and they aren’t as prone to weather contamination, either. They’re more predictable. The lever feel is better
Rims last longer when you use disc brakes- Because disc brakes use a rotor for a braking surface, the rims don't get worn down by braking. Discs have the edge in wet and muddy conditions because the rotors stay cleaner than your rims.