I had a terrible experience with Odyssey Audio and would avoid them like a plague. Without question it was the worst experience I’ve had in this hobby among the many dozens of products and brands.
If you miss the gutsy/meaty Parasound signature, you’ll be remorseful with most other brands. For example, I had the Coda No.8 (V1), and while it was a good amp with plenty of refinement, I ultimately preferred my Parasound A21 for its “effortless” reserve and low-level authority.
Based on the measurements of the Tyr monoblocks, you’d be giving up over 1.5dB of headroom relative to a JC5, which is not insignificant. However, the Tyrs are quieter so can likely resolve a little more detail.
I do believe there are better amps out there, but IME, you don’t really get much of a worthwhile improvement until you step up to something like a Gryphon or Boulder, or possibly a flagship Coda or Pass. Also, consider that the Parasounds would likely sell for 2X the price if they were manufactured in Europe or the U.S., rather than Taiwan.