Havent tried the Burson Conductor 3X Ref.
The Cayin IHA-6 is not in the same class as Jot 2. Not as dynamic. Not as lively and exciting. The IHA-6 also has a tipped up upper mid and treble. Bass is less slammy and textured. Timbre is also better on the Jot 2. Another weakness of the IHA-6 that bothered me a little is that greyish blackground which hinders clarity. Jot 2 doesn't have that issue.
I have tried quite a few SS amps, including north of $2,000 ones. The Jot 2 has really good macro dynamics and slam that is better or equal those amps, but what amazes me is the way it brings microdynamics. I have never heard it before in any SS amps. Heck, some of the tube amps that I tried can't even do microdynamics like that.
Though I do not have them both in front of me, I can't recall anything that the IHA-6 can edge the Jot 2. Maybe staging and separation are slightly better on the IHA-6. To be fair, IHA-6 is not a bad amp; actually prefer it to Topping or THX. But the Jot 2 just raised the bar. Unless when you have a really warm setup, which then the IHA-6 could be a better match. Otherwise, Jot 2 is clearly the better choice.