It’s super useful to know that unsound demands peaks of around 105 dB (think table saw volume). If you want to play many Thiel models that loudly, yes, you do need a moonrocket amp. You can also get there by using something like JBLs rather than Thiel.
My Ayre AX-5 Twenty, paired with my particular digital source, will begin to clip at an indicated 40 on the volume with typical digital files. My speakers are CS2.4, heavily modified under the guidance of Tom Thiel. I don’t have a good SPL meter but estimate the volume at clipping would be 95-97 dB. I mostly listen at an indicated 20-24, maybe low 30s if I have the house to myself and want to play loudly (peaks probably around 90).
If you have several days to read through this thread you will see many reports of happy Thiel owners using all kinds of amps that unsound would consider unfit. Off the top of my head, a couple of CS2.4 owners report great results with ARC tube amps. Wes Phillips glowing review of the CS2.4 included use with multiple amps, some of them quite low-powered and probably none of them meeting unsound’s criteria. When I first heard a pair of CS2.4 they were driven by an Ayre AX-7 (60 W into 8 Ohms). Sounded excellent to me. And I drove a pair of CS1.6 with an Ayre AX-7 for many years, never detected clipping.
The need for a super high-powered amp will depend on many factors including personal listening preference and room size. But the measurements should only be a guide. You will never, ever know what a combo sounds like until you actually listen to it.
Here are the measurements for the AX-5 Twenty. Looking at these, I would not be afraid to mate an AX-5 even to a pair of CS-5s. Obviously, that amp will not get anywhere near 105 dB but I suspect it would sound excellent within its volume limitations.
https://www.hifinews.com/content/ayre-ax-5-twenty-integrated-amplifier-lab-report