I have been a stat fan most of my life, first with Koss, then Stax and even Jaecklin. I appreciate the sense of reality they provide and their tonal accuracy. I take it you hear a lot of acoustic music that gives a reference to decide if a sound is accurate. People who only know amplified sound lack this reference and mainly seem to judge on the basis of bass slam, as in a rock concert. And if that's what you like and will be listening to and don't mind damaging your hearing, that's fine.
We're of the same mind on this exactly. I only listen to acoustic music. Classical, about 8 hours a day while I work at the computer these days mainly. I agree with what you say about amplified music. It starts off as an electronic signal, then is sent through compressors and all sorts of stuff, and out a dynamic speaker at 130 SPL. What's the obsession with reproducing that?
I think they're both myths because of the reasons you say above. People are used to hearing an electronic instrument through dynamic speakers, and stats will reproduce that as ... an electronic signal through dynamic speakers. That is, exactly as they sound. The "lack of dynamics" and "treble edge" myth is because it's the wrong transducer for a type of music that was created and mixed for dynamic drivers.
There is no lack of dynamics, and no treble edge with Stax with classical music, which has more dynamic shifts and use of the treble than electronic music.