Regarding the Yamaha sound, compared to my Cayin, it’s somewhat a matter of trade-offs. I’d say midrange is about equal but the Yamaha’s bass is deeper and it has greater overall resolution. The Cayin has the upper hand in soundstage width/depth and 3D-effect, but not by a huge margin in back-to-back A/B. The Cayin also produces more of those pleasant harmonic distortions, the such that can make electric guitars sound a little more realistic, but that’s to be expected, and also dependent on the amp’s bias setting. The Yamahas (MOSFET versions) have a lush/saturated tonality that one doesn’t typically associate with SS. Think of it like a TV with its color saturation turned up to around 70/100. It also has a slight “V-curve” presentation, so speaker matching does matter. Yamaha may not quite be the company it was in the 70s but they do employ their own in-house design team and own/operate their factories independently. They use higher quality parts than many competitors as well.
The Rega Elex-R is a little more neutral and warm, with that “PRaT” that British gear is known for. I’m not familiar with the higher priced Regas. Apparently they are going to release the new Elicit in the near future and that one would be on my radar if I were in the market. I know Audio Advisor sold them at one time so may be worth checking out.
I have no familiarity with Vincent gear but it appears well made.
Since you asked about Parasound, I owned the original Hint for a stint. It is a very nice sounding integrated. Mine had some low-level hum (lower than Cronus) but otherwise it was a good performer, and very powerful. It can drive nearly any speaker with a bold, meaty presentation. Hopefully they addressed any inherent noise issues in the Hint 6 revision. My only other nitpick is that it sounded a little slow with some music compared to the Yamahas. Parasound also uses inferior parts quality in that entry-level Halo line. The stuff with Curl’s name on it has better parts. Parasound does have some of the best customer support and their stuff is serviced in CA.
Best of luck. Those Cayins are hard to match or surpass without getting into decent separates IME.