I used to own the BHSE and Stax 009, plus 3 KGSSHv, one being the Carbon. I moved on and up to the Abyss TC fed by my Moon 600i amp. The LCD4 out of the DAVE direct is also very good.
The Stax is too floaty, unrealistic and after some years of it, I got bored. It is not reality as regards music reproduction, more a stethoscope to the source, with dynamics, soundstage and bass more or less missing.
The Real was good at the show out of the little tube amp, but be careful. The tracks I heard on it were quite treble surpressed, such as the Daft Punk new album. I listened to that when I got back, and it has a weird table dip thing going on. So you need to listen to the Raal with your own music tracks. I find the Raal super fast and big soundstage, but looses in midrange weight and bass like the Syntax 009 does.
Lets face it, asking a single transducer to play all the frequencies at the same time and at a top quality is a big ask. But SOTA headphones are getting really better at it, mainly the Planars IMO.