When you bridge a balanced CKT to a SE input, you lost a few dB of gain. Also balanced CKT has better immunity for common mode noise, you lost it when you bridge it to SE. In other words, it will suffer more distortion from power supply coulping from energy dissipation across the spectrum. As for the sound, it would be less dynamic, less bass, not as accurate to my ears. Running in balanced mode, usually has more punchy bass, extended high, and gives more image/layers because of its lower crosstalk inside the spectrum. This is true for all balanced CKT designs not only for BAT. If you have balanced gears, just use balanced IC's.
