cost no object integrated amps

OP you don’t need to spend that much. The Bakoon 13R  is my recommendation, betters much more expensive alternatives.

Start with trying the darTZeel & Vitus. I doubt you would need to hear anything else...

Audionet Humboldt is an excellent integrated. As good as it gets as far as any integrated I've heard. And better than most separates out there. 

Ayre AX-5 Twenty Series. No need to spend $30K.

I have experience at home with the Vitus SIA-025 and the Vitus SIA-030 as well as numerous separate pre/power combos.  At shows I have heard the T&A and ch precision. 
My view is that the Vitus SIA-030 is a phenomenal amp, better than anything I have ever heard. The SIA-025 also gives a lot for what is a very small box, but the 030 is on another level of amplifier. The pre-amp section of the 030 is exceptional.  It is always difficult to describe what it is that makes it sound so much better.  I’ll try: of all the high-end amps I have heard it is by far the most 'musical', the least 'hi-fi', and perhaps, to use an overused phrase, the most 'analogue'.  All amps at this level will offer great control and dynamics but I find the Vitus offers that extra elusive, magical, 'thing'.  The musical image is very holographic too.  I cannot recommend it highly enough.