There are limits, of course—there is a limit at which you can damage a given speaker with a given amp with normal music.
But chirps don't follow "high frequencies are played at much lower levels". I've helped develope speaker/room correction software for a company that makes studio monitors. And REW does this too, and I'm pretty sure has an option for white noise as well. It's all about volume, of course—that Dreamcrusher tune I posted will likely cause damage at power levels and speakers that people own (but your ear will tell you to not play it loud enough to do that). But you can run a chirp or white noise pretty loud without frying speakers.
Just saying, you seem to imply that equal energy per frequency is a menace. It's rare in musical balance, and of course not a full volume, but I have to push back on it being inherently damaging. But I think this discussion on speakers is a tangent, though, because whatever the signal, we tend to avoid damaging levels, and music rarely tricks us with a soft passage to set our expectations, then full blast high frequencies. (But even white noise isn't "full blast high frequencies", as there is a lot of energy taken up with lower frequencies.) The real issue is MQA-encoded audio. In all the messages I've replied to, and our ensuing discussion, you haven't said something like, "MQA can't encode white noise that is at unusually high level, say, -3 dB full scale". You've said that white noise (at least with 44.1k bandwidth) isn't music and should not be expected to encode. I just disagree. I don't expect to change you mind, I'm just registering a voice that disagrees with that point, in this thread.
Anyway, I'm not going to play white noise at volumes to see at what point I damage my speakers or ears, but I've heard it pretty loud in here and and elsewhere and have yet to replace anything. <shrug>