"balanced" means two things now. The more traditional 3 wire, differential/ground interconnect and the relatively more recent 2 wires to each transducer cable in the headphone world. Wikipedia needs to be updated.
So is the headphone amp three wire and the headphone cable is two wire? So is it really truly balanced when listening through headphones?
There are amps with fully balanced topologies, some with partial, and some that just have a balanced amp output. Depends on the Amp. More discussion on "balanced amp".
The primary benefit of balanced headphones amps is more power. Some people claim they get better separation, sound stage or other sonic benefits. Others claim the sonic benefits are due to higher output through the balanced jack, and most people will interpret louder as better. YMMV
The utopias are relatively easy to drive, so the power benefits from balanced are probably minimal, assuming the SE amp has enough power. The other sonic benefits are a function of how good your ears are, the topology of your amp, and may be dependent on how much you paid for your system (the more you paid, the more sonic improvement you will "hear" to justify your expenditure
The amp might have different loads or other variations on how single ended vs balanced output in handled/converted in the amp, so balanced and SE might not sound the same for the same headphone SE vs balanced on the same amp. "not the same" doesn't necessarily mean better, but might.