OK, that reply confirms my suspicions.
It's just non-technical double speak.
They say "no traces", yet they mean "no long traces". A huge difference, isn't it!
This also basically confirms the standard is wrong, it cannot be followed, because even those who claim to follow it, in the next sentence admit they follow a different rule: accepting certain length of traces when going to via.
Where you set the threshold of "long trace", makes it more inaccurate art, than exact science. Maybe 10mm? 20mm? 100mm?
And why adding two vias makes it good, even if the track length on top layer increases due to that?
It's hilarious in how far people go to support their fallacies. So they can break the rules by making a short trace, but only if it goes to the via, comes back from another via, to another short trace; the vias are acting as symbols of "I did something to try to follow the impossible rule, which I still didn't follow, but hey, there are vias!" In reality, they just make the rule breach bigger, because the vias add more copper area to the track, compared how short it could be if you did not jump into the mid layer.
The key of survival in such absurdly regulated field is to sense the atmosphere, trying to socially figure out what are the socially set, non-written actual rules, how strong their enforcement is, i.e., do you get in trouble if you follow the actual rules, or in case that is impossible and no one are following the rules, at least do the Right Thing. Finally, try your best to mitigate the negative effects of said rules (official and made-up).
This is exactly why I hate such regulated fields. With some good regulation, comes also broken regulation, and with good social high-status job, come also sick social games. Navigating in that minefield and get out products that allow you to sleep at night requires experience. I would suck at that job, I would just concentrate on making things work and be safe and reliable, based on the physical reality.
In through hole design, this insanity does not exist: the length of the track is the same regardless of being on outer or inner layer, and no extra copper needs to be added to hop between layers, so such rule does not hurt and might help with EMI, a bit. Simplistic rule of thumb, but not super-harmful.
With modern high-density SMD, it totally blows everything up and forces to do inferior design, EMI-wise and otherwise.