It doesn't say anything about warped disks being a myth, because they aren't. What is says is that vibration under braking is most often NOT caused by warped disks.
If reusing pads then I would also recommend you de-glaze and flatten the surface of the pads using emery paper on a flat surface.
Modern discs, made on modern production lines, out of modern materials, never warp under heat like older poorly made ones used to about 40 years ago or more.
99.9999999% of so called "warped" discs nowadays, are mainly because of poor fitment, and/or poor bedding in procedures, and combined, (to a far lesser extent), with poor driving habits, all causing run out issues for different reasons, and that causes the vibration.
The other 0.0000001% is down to poor manufacture in the first place, again causing run out issues.
I agree with flattening old pads if being reused, but also go to every effort possible to make sure the mating face between the disc and hub is spotlessly clean before refitting, and that includes NOT using any grease on the mating surface between hub and disc, especially do not use copper grease, which can in certain circumstances actually promote corrosion.
Ideally then you use a dial gauge to measure any lateral run out on the new disc, and make sure it is within the manufacturers specification.